In the equation $\displaystyle 7 m + 3 = n$, $\displaystyle {m}$ is the independent variable and $\displaystyle {m}$ is the dependent variable. This means, as we manipulate $\displaystyle {m}$, $\displaystyle {n}$ will change.

Because we are given tables in our answer choices, we can plug in the given value for $\displaystyle {m}$ from the table and use our equation from the question to see if that equals the value given for $\displaystyle {n}$ in the table.

Let's start by testing values from the following table:

$\displaystyle {\begin{tabular}{|c|c|}\hline m & n \\ \hline 0 & 4\\ \hline 8 & 61\\ \hline 14 & 104\\ \hline 18& 133\\ \hline \end{tabular}}$

$\displaystyle {7(0)+3=4}$

$\displaystyle {0+3=4}$

$\displaystyle {3\neq 4}$

Because this equation did not work out, this means that not all of the values from the table are representative of the relationship between $\displaystyle {m}$ and $\displaystyle {n}$ if $\displaystyle {7 m + 3 = n}$ ; thus, this answer choice is not correct and can be eliminated.

Next, let's test values from the following table:

$\displaystyle {\begin{tabular}{|c|c|}\hline m & n \\ \hline 2 & 17\\ \hline 7 & 104\\ \hline 8 & 118\\ \hline 10& 146\\ \hline \end{tabular}}$

$\displaystyle {7(2)+3=17}$

$\displaystyle {14+3=17}$

$\displaystyle {17=17}$

These values are correct for our equation, but to be safe we should plug each value into our equation until we find a value that is not correct, or that each value is correct.

$\displaystyle {7(7)+3=104}$

$\displaystyle {49+3=104}$

$\displaystyle {52\neq 104}$

Because this equation did not work out, this means that not all of the values from the table are representative of the relationship between $\displaystyle {m}$ and $\displaystyle {n}$ if $\displaystyle {7 m + 3 = n}$ ; thus, this answer choice is not correct and can be eliminated.

$\displaystyle {\begin{tabular}{|c|c|}\hline m & n \\ \hline 4 & 31\\ \hline 14 & 101\\ \hline 15 & 119\\ \hline 19& 136\\ \hline \end{tabular}}$

$\displaystyle {7(4)+3=31}$

$\displaystyle {28+3=31}$

$\displaystyle {31=31}$

These values are correct for our equation, but to be safe we should plug each value into our equation until we find a value that is not correct, or that each value is correct.

$\displaystyle {7(14)+3=101}$

$\displaystyle {98+3=101}$

$\displaystyle {101=101}$

Again, these values are correct for our equation, but to be safe we should plug each value into our equation until we find a value that is not correct, or that each value is correct.

$\displaystyle {7(15)+3=119}$

$\displaystyle {105+3=119}$

$\displaystyle {108\neq 119}$

Because this equation did not work out, this means that not all of the values from the table are representative of the relationship between $\displaystyle {m}$ and $\displaystyle {n}$ if $\displaystyle {7 m + 3 = n}$ ; thus, this answer choice is not correct and can be eliminated.

Finally, let's test values from the following table:

$\displaystyle {\begin{tabular}{|c|c|}\hline m & n \\ \hline 11 & 80\\ \hline 12 & 87\\ \hline 16 & 115\\ \hline 17& 122\\ \hline \end{tabular}}$

$\displaystyle {7(11)+3=80}$

$\displaystyle {77+3=80}$

$\displaystyle {80=80}$

These values are correct for our equation, but to be safe we should plug each value into our equation until we find a value that is not correct, or that each value is correct.

$\displaystyle {7(12)+3=87}$

$\displaystyle {84+3=87}$

$\displaystyle {87=87}$

Again, these values are correct for our equation, but to be safe we should plug each value into our equation until we find a value that is not correct, or that each value is correct.

$\displaystyle {7(16)+3=115}$

$\displaystyle {112+3=115}$

$\displaystyle {115=115}$

Again, these values are correct for our equation, but to be safe we should plug each value into our equation until we find a value that is not correct, or that each value is correct.

$\displaystyle {7(17)+3=122}$

$\displaystyle {119+3=122}$

$\displaystyle {122=122}$

All of these values were correct for our equation; thus, this table is our correct answer.

In the equation $\displaystyle - 13 m + 5 = n$, $\displaystyle {m}$ is the independent variable and $\displaystyle {m}$ is the dependent variable. This means, as we manipulate $\displaystyle {m}$, $\displaystyle {n}$ will change.

Because we are given tables in our answer choices, we can plug in the given value for $\displaystyle {m}$ from the table and use our equation from the question to see if that equals the value given for $\displaystyle {n}$ in the table.

Let's start by testing values from the following table:

$\displaystyle {\begin{tabular}{|c|c|}\hline m & n \\ \hline 0 & 6\\ \hline 1 & -6\\ \hline 4 & -44\\ \hline 19& -238\\ \hline \end{tabular}}$

$\displaystyle {-13(0)+5=6}$

$\displaystyle {0+5=6}$

$\displaystyle {5\neq 6}$

Because this equation did not work out, this means that not all of the values from the table are representative of the relationship between $\displaystyle {m}$ and $\displaystyle {n}$ if $\displaystyle {- 13 m + 5 = n}$ ; thus, this answer choice is not correct and can be eliminated.

Next, let's test values from the following table:

$\displaystyle {\begin{tabular}{|c|c|}\hline m & n \\ \hline 4 & -47\\ \hline 9 & -224\\ \hline 13 & -328\\ \hline 17& -432\\ \hline \end{tabular}}$

$\displaystyle {-13(4)+5=-47}$

$\displaystyle {-52+5=-47}$

$\displaystyle {-47=-47}$

These values are correct for our equation, but to be safe we should plug each value into our equation until we find a value that is not correct, or that each value is correct.

$\displaystyle {-13(9)+5=-224}$

$\displaystyle {-117+5=-224}$

$\displaystyle {-112\neq -224}$

Because this equation did not work out, this means that not all of the values from the table are representative of the relationship between $\displaystyle {m}$ and $\displaystyle {n}$ if $\displaystyle {- 13 m + 5 = n}$ ; thus, this answer choice is not correct and can be eliminated.

$\displaystyle {\begin{tabular}{|c|c|}\hline m & n \\ \hline 6 & -73\\ \hline 10 & -125\\ \hline 17 & -205\\ \hline 18& -229\\ \hline \end{tabular}}$

$\displaystyle {-13(6)+5=-73}$

$\displaystyle {-78+5=-73}$

$\displaystyle {-73=-73}$

These values are correct for our equation, but to be safe we should plug each value into our equation until we find a value that is not correct, or that each value is correct.

$\displaystyle {-13(10)+5=-125}$

$\displaystyle {-130+5=-125}$

$\displaystyle {-125=-125}$

Again, these values are correct for our equation, but to be safe we should plug each value into our equation until we find a value that is not correct, or that each value is correct.

$\displaystyle {-13(17)+5=-205}$

$\displaystyle {-221+5=-205}$

$\displaystyle {-216\neq -205}$

Because this equation did not work out, this means that not all of the values from the table are representative of the relationship between $\displaystyle {m}$ and $\displaystyle {n}$ if $\displaystyle {- 13 m + 5 = n}$ ; thus, this answer choice is not correct and can be eliminated.

Finally, let's test values from the following table:

$\displaystyle {\begin{tabular}{|c|c|}\hline m & n \\ \hline 0 & 5\\ \hline 4 & -47\\ \hline 15 & -190\\ \hline 17& -216\\ \hline \end{tabular}}$

$\displaystyle {-13(0)+5=5}$

$\displaystyle {0+5=5}$

$\displaystyle {5=5}$

These values are correct for our equation, but to be safe we should plug each value into our equation until we find a value that is not correct, or that each value is correct.

$\displaystyle {-13(4)+5=-47}$

$\displaystyle {-52+5=-47}$

$\displaystyle {-47=-47}$

Again, these values are correct for our equation, but to be safe we should plug each value into our equation until we find a value that is not correct, or that each value is correct.

$\displaystyle {-13(15)+5=-190}$

$\displaystyle {-195+5=-190}$

$\displaystyle {-190=-190}$

Again, these values are correct for our equation, but to be safe we should plug each value into our equation until we find a value that is not correct, or that each value is correct.

$\displaystyle {-13(17)+5=-216}$

$\displaystyle {-221+5=-216}$

$\displaystyle {-216=-216}$

All of these values were correct for our equation; thus, this table is our correct answer.

In the equation $\displaystyle 11 m - 17 = n$, $\displaystyle {m}$ is the independent variable and $\displaystyle {m}$ is the dependent variable. This means, as we manipulate $\displaystyle {m}$, $\displaystyle {n}$ will change.

Because we are given tables in our answer choices, we can plug in the given value for $\displaystyle {m}$ from the table and use our equation from the question to see if that equals the value given for $\displaystyle {n}$ in the table.

Let's start by testing values from the following table:

$\displaystyle {\begin{tabular}{|c|c|}\hline m & n \\ \hline 4 & 28\\ \hline 5 & 40\\ \hline 12 & 118\\ \hline 16& 163\\ \hline \end{tabular}}$

$\displaystyle {11(4)+-17=28}$

$\displaystyle {44+-17=28}$

$\displaystyle {27\neq 28}$

Because this equation did not work out, this means that not all of the values from the table are representative of the relationship between $\displaystyle {m}$ and $\displaystyle {n}$ if $\displaystyle {11 m - 17 = n}$ ; thus, this answer choice is not correct and can be eliminated.

Next, let's test values from the following table:

$\displaystyle {\begin{tabular}{|c|c|}\hline m & n \\ \hline 6 & 49\\ \hline 7 & 120\\ \hline 10 & 186\\ \hline 14& 274\\ \hline \end{tabular}}$

$\displaystyle {11(6)-17=49}$

$\displaystyle {66-17=49}$

$\displaystyle {49=49}$

These values are correct for our equation, but to be safe we should plug each value into our equation until we find a value that is not correct, or that each value is correct.

$\displaystyle {11(7)-17=120}$

$\displaystyle {77-17=120}$

$\displaystyle {60\neq 120}$

Because this equation did not work out, this means that not all of the values from the table are representative of the relationship between $\displaystyle {m}$ and $\displaystyle {n}$ if $\displaystyle {11 m - 17 = n}$ ; thus, this answer choice is not correct and can be eliminated.

$\displaystyle {\begin{tabular}{|c|c|}\hline m & n \\ \hline 1 & -6\\ \hline 4 & 27\\ \hline 10 & 104\\ \hline 13& 136\\ \hline \end{tabular}}$

$\displaystyle {11(1)-17=-6}$

$\displaystyle {11-17=-6}$

$\displaystyle {-6=-6}$

These values are correct for our equation, but to be safe we should plug each value into our equation until we find a value that is not correct, or that each value is correct.

$\displaystyle {11(4)-17=27}$

$\displaystyle {44-17=27}$

$\displaystyle {27=27}$

Again, these values are correct for our equation, but to be safe we should plug each value into our equation until we find a value that is not correct, or that each value is correct.

$\displaystyle {11(10)-17=104}$

$\displaystyle {110-17=104}$

$\displaystyle {93\neq 104}$

Because this equation did not work out, this means that not all of the values from the table are representative of the relationship between $\displaystyle {m}$ and $\displaystyle {n}$ if $\displaystyle {11 m - 17 = n}$ ; thus, this answer choice is not correct and can be eliminated.

Finally, let's test values from the following table:

$\displaystyle {\begin{tabular}{|c|c|}\hline m & n \\ \hline 6 & 49\\ \hline 10 & 93\\ \hline 16 & 159\\ \hline 17& 170\\ \hline \end{tabular}}$

$\displaystyle {11(6)-17=49}$

$\displaystyle {66-17=49}$

$\displaystyle {49=49}$

These values are correct for our equation, but to be safe we should plug each value into our equation until we find a value that is not correct, or that each value is correct.

$\displaystyle {11(10)-17=93}$

$\displaystyle {110-17=93}$

$\displaystyle {93=93}$

Again, these values are correct for our equation, but to be safe we should plug each value into our equation until we find a value that is not correct, or that each value is correct.

$\displaystyle {11(16)-17=159}$

$\displaystyle {176-17=159}$

$\displaystyle {159=159}$

Again, these values are correct for our equation, but to be safe we should plug each value into our equation until we find a value that is not correct, or that each value is correct.

$\displaystyle {11(17)-17=170}$

$\displaystyle {187+-17=170}$

$\displaystyle {170=170}$

All of these values were correct for our equation; thus, this table is our correct answer.

In the equation $\displaystyle - 10 m - 7 = n$, $\displaystyle {m}$ is the independent variable and $\displaystyle {m}$ is the dependent variable. This means, as we manipulate $\displaystyle {m}$, $\displaystyle {n}$ will change.

Because we are given tables in our answer choices, we can plug in the given value for $\displaystyle {m}$ from the table and use our equation from the question to see if that equals the value given for $\displaystyle {n}$ in the table.

Let's start by testing values from the following table:

$\displaystyle {\begin{tabular}{|c|c|}\hline m & n \\ \hline 0 & -6\\ \hline 3 & -35\\ \hline 6 & -64\\ \hline 19& -193\\ \hline \end{tabular}}$

$\displaystyle {-10(0)+-7=-6}$

$\displaystyle {0+-7=-6}$

$\displaystyle {-7\neq -6}$

Because this equation did not work out, this means that not all of the values from the table are representative of the relationship between $\displaystyle {m}$ and $\displaystyle {n}$ if $\displaystyle {- 10 m - 7 = n}$ ; thus, this answer choice is not correct and can be eliminated.

Next, let's test values from the following table:

$\displaystyle {\begin{tabular}{|c|c|}\hline m & n \\ \hline 1 & -17\\ \hline 11 & -234\\ \hline 14 & -294\\ \hline 16& -334\\ \hline \end{tabular}}$

$\displaystyle {-10(1)-7=-17}$

$\displaystyle {-10-7=-17}$

$\displaystyle {-17=-17}$

These values are correct for our equation, but to be safe we should plug each value into our equation until we find a value that is not correct, or that each value is correct.

$\displaystyle {-10(11)-7=-234}$

$\displaystyle {-110-7=-234}$

$\displaystyle {-117\neq -234}$

Because this equation did not work out, this means that not all of the values from the table are representative of the relationship between $\displaystyle {m}$ and $\displaystyle {n}$ if $\displaystyle {- 10 m - 7 = n}$ ; thus, this answer choice is not correct and can be eliminated.

$\displaystyle {\begin{tabular}{|c|c|}\hline m & n \\ \hline 3 & -37\\ \hline 4 & -47\\ \hline 15 & -146\\ \hline 16& -157\\ \hline \end{tabular}}$

$\displaystyle {-10(3)-7=-37}$

$\displaystyle {-30-7=-37}$

$\displaystyle {-37=-37}$

These values are correct for our equation, but to be safe we should plug each value into our equation until we find a value that is not correct, or that each value is correct.

$\displaystyle {-10(4)-7=-47}$

$\displaystyle {-40-7=-47}$

$\displaystyle {-47=-47}$

Again, these values are correct for our equation, but to be safe we should plug each value into our equation until we find a value that is not correct, or that each value is correct.

$\displaystyle {-10(15)-7=-146}$

$\displaystyle {-150-7=-146}$

$\displaystyle {-157\neq -146}$

Because this equation did not work out, this means that not all of the values from the table are representative of the relationship between $\displaystyle {m}$ and $\displaystyle {n}$ if $\displaystyle {- 10 m - 7 = n}$ ; thus, this answer choice is not correct and can be eliminated.

Finally, let's test values from the following table:

$\displaystyle {\begin{tabular}{|c|c|}\hline m & n \\ \hline 1 & -17\\ \hline 8 & -87\\ \hline 17 & -177\\ \hline 18& -187\\ \hline \end{tabular}}$

$\displaystyle {-10(1)-7=-17}$

$\displaystyle {-10-7=-17}$

$\displaystyle {-17=-17}$

These values are correct for our equation, but to be safe we should plug each value into our equation until we find a value that is not correct, or that each value is correct.

$\displaystyle {-10(8)-7=-87}$

$\displaystyle {-80-7=-87}$

$\displaystyle {-87=-87}$

Again, these values are correct for our equation, but to be safe we should plug each value into our equation until we find a value that is not correct, or that each value is correct.

$\displaystyle {-10(17)-7=-177}$

$\displaystyle {-170-7=-177}$

$\displaystyle {-177=-177}$

Again, these values are correct for our equation, but to be safe we should plug each value into our equation until we find a value that is not correct, or that each value is correct.

$\displaystyle {-10(18)-7=-187}$

$\displaystyle {-180+-7=-187}$

$\displaystyle {-187=-187}$

All of these values were correct for our equation; thus, this table is our correct answer.

In the equation $\displaystyle - 11 m + 10 = n$, $\displaystyle {m}$ is the independent variable and $\displaystyle {m}$ is the dependent variable. This means, as we manipulate $\displaystyle {m}$, $\displaystyle {n}$ will change.

Because we are given tables in our answer choices, we can plug in the given value for $\displaystyle {m}$ from the table and use our equation from the question to see if that equals the value given for $\displaystyle {n}$ in the table.

Let's start by testing values from the following table:

$\displaystyle {\begin{tabular}{|c|c|}\hline m & n \\ \hline 5 & -44\\ \hline 6 & -54\\ \hline 14 & -141\\ \hline 19& -195\\ \hline \end{tabular}}$

$\displaystyle {-11(5)+10=-44}$

$\displaystyle {-55+10=-44}$

$\displaystyle {-45\neq -44}$

Because this equation did not work out, this means that not all of the values from the table are representative of the relationship between $\displaystyle {m}$ and $\displaystyle {n}$ if $\displaystyle {- 11 m + 10 = n}$ ; thus, this answer choice is not correct and can be eliminated.

Next, let's test values from the following table:

$\displaystyle {\begin{tabular}{|c|c|}\hline m & n \\ \hline 8 & -78\\ \hline 9 & -178\\ \hline 11 & -222\\ \hline 17& -354\\ \hline \end{tabular}}$

$\displaystyle {-11(8)+10=-78}$

$\displaystyle {-88+10=-78}$

$\displaystyle {-78=-78}$

These values are correct for our equation, but to be safe we should plug each value into our equation until we find a value that is not correct, or that each value is correct.

$\displaystyle {-11(9)+10=-178}$

$\displaystyle {-99+10=-178}$

$\displaystyle {-89\neq -178}$

Because this equation did not work out, this means that not all of the values from the table are representative of the relationship between $\displaystyle {m}$ and $\displaystyle {n}$ if $\displaystyle {- 11 m + 10 = n}$ ; thus, this answer choice is not correct and can be eliminated.

$\displaystyle {\begin{tabular}{|c|c|}\hline m & n \\ \hline 8 & -78\\ \hline 12 & -122\\ \hline 15 & -144\\ \hline 17& -177\\ \hline \end{tabular}}$

$\displaystyle {-11(8)+10=-78}$

$\displaystyle {-88+10=-78}$

$\displaystyle {-78=-78}$

These values are correct for our equation, but to be safe we should plug each value into our equation until we find a value that is not correct, or that each value is correct.

$\displaystyle {-11(12)+10=-122}$

$\displaystyle {-132+10=-122}$

$\displaystyle {-122=-122}$

Again, these values are correct for our equation, but to be safe we should plug each value into our equation until we find a value that is not correct, or that each value is correct.

$\displaystyle {-11(15)+10=-144}$

$\displaystyle {-165+10=-144}$

$\displaystyle {-155\neq -144}$

Because this equation did not work out, this means that not all of the values from the table are representative of the relationship between $\displaystyle {m}$ and $\displaystyle {n}$ if $\displaystyle {- 11 m + 10 = n}$ ; thus, this answer choice is not correct and can be eliminated.

Finally, let's test values from the following table:

$\displaystyle {\begin{tabular}{|c|c|}\hline m & n \\ \hline 2 & -12\\ \hline 4 & -34\\ \hline 10 & -100\\ \hline 12& -122\\ \hline \end{tabular}}$

$\displaystyle {-11(2)+10=-12}$

$\displaystyle {-22+10=-12}$

$\displaystyle {-12=-12}$

These values are correct for our equation, but to be safe we should plug each value into our equation until we find a value that is not correct, or that each value is correct.

$\displaystyle {-11(4)+10=-34}$

$\displaystyle {-44+10=-34}$

$\displaystyle {-34=-34}$

Again, these values are correct for our equation, but to be safe we should plug each value into our equation until we find a value that is not correct, or that each value is correct.

$\displaystyle {-11(10)+10=-100}$

$\displaystyle {-110+10=-100}$

$\displaystyle {-100=-100}$

Again, these values are correct for our equation, but to be safe we should plug each value into our equation until we find a value that is not correct, or that each value is correct.

$\displaystyle {-11(12)+10=-122}$

$\displaystyle {-132+10=-122}$

$\displaystyle {-122=-122}$

All of these values were correct for our equation; thus, this table is our correct answer.

In the equation $\displaystyle - 9 m - 11 = n$, $\displaystyle {m}$ is the independent variable and $\displaystyle {m}$ is the dependent variable. This means, as we manipulate $\displaystyle {m}$, $\displaystyle {n}$ will change.

Because we are given tables in our answer choices, we can plug in the given value for $\displaystyle {m}$ from the table and use our equation from the question to see if that equals the value given for $\displaystyle {n}$ in the table.

Let's start by testing values from the following table:

$\displaystyle {\begin{tabular}{|c|c|}\hline m & n \\ \hline 3 & -37\\ \hline 15 & -144\\ \hline 16 & -152\\ \hline 18& -169\\ \hline \end{tabular}}$

$\displaystyle {-9(3)+-11=-37}$

$\displaystyle {-27+-11=-37}$

$\displaystyle {-38\neq -37}$

Because this equation did not work out, this means that not all of the values from the table are representative of the relationship between $\displaystyle {m}$ and $\displaystyle {n}$ if $\displaystyle {- 9 m - 11 = n}$ ; thus, this answer choice is not correct and can be eliminated.

Next, let's test values from the following table:

$\displaystyle {\begin{tabular}{|c|c|}\hline m & n \\ \hline 6 & -65\\ \hline 14 & -274\\ \hline 15 & -292\\ \hline 18& -346\\ \hline \end{tabular}}$

$\displaystyle {-9(6)-11=-65}$

$\displaystyle {-54-11=-65}$

$\displaystyle {-65=-65}$

These values are correct for our equation, but to be safe we should plug each value into our equation until we find a value that is not correct, or that each value is correct.

$\displaystyle {-9(14)-11=-274}$

$\displaystyle {-126-11=-274}$

$\displaystyle {-137\neq -274}$

Because this equation did not work out, this means that not all of the values from the table are representative of the relationship between $\displaystyle {m}$ and $\displaystyle {n}$ if $\displaystyle {- 9 m - 11 = n}$ ; thus, this answer choice is not correct and can be eliminated.

$\displaystyle {\begin{tabular}{|c|c|}\hline m & n \\ \hline 9 & -92\\ \hline 11 & -110\\ \hline 15 & -135\\ \hline 19& -172\\ \hline \end{tabular}}$

$\displaystyle {-9(9)-11=-92}$

$\displaystyle {-81-11=-92}$

$\displaystyle {-92=-92}$

These values are correct for our equation, but to be safe we should plug each value into our equation until we find a value that is not correct, or that each value is correct.

$\displaystyle {-9(11)-11=-110}$

$\displaystyle {-99-11=-110}$

$\displaystyle {-110=-110}$

Again, these values are correct for our equation, but to be safe we should plug each value into our equation until we find a value that is not correct, or that each value is correct.

$\displaystyle {-9(15)-11=-135}$

$\displaystyle {-135-11=-135}$

$\displaystyle {-146\neq -135}$

Because this equation did not work out, this means that not all of the values from the table are representative of the relationship between $\displaystyle {m}$ and $\displaystyle {n}$ if $\displaystyle {- 9 m - 11 = n}$ ; thus, this answer choice is not correct and can be eliminated.

Finally, let's test values from the following table:

$\displaystyle {\begin{tabular}{|c|c|}\hline m & n \\ \hline 9 & -92\\ \hline 10 & -101\\ \hline 15 & -146\\ \hline 16& -155\\ \hline \end{tabular}}$

$\displaystyle {-9(9)-11=-92}$

$\displaystyle {-81-11=-92}$

$\displaystyle {-92=-92}$

These values are correct for our equation, but to be safe we should plug each value into our equation until we find a value that is not correct, or that each value is correct.

$\displaystyle {-9(10)-11=-101}$

$\displaystyle {-90-11=-101}$

$\displaystyle {-101=-101}$

Again, these values are correct for our equation, but to be safe we should plug each value into our equation until we find a value that is not correct, or that each value is correct.

$\displaystyle {-9(15)-11=-146}$

$\displaystyle {-135-11=-146}$

$\displaystyle {-146=-146}$

Again, these values are correct for our equation, but to be safe we should plug each value into our equation until we find a value that is not correct, or that each value is correct.

$\displaystyle {-9(16)-11=-155}$

$\displaystyle {-144+-11=-155}$

$\displaystyle {-155=-155}$

All of these values were correct for our equation; thus, this table is our correct answer.

In the equation $\displaystyle - 13 m + 18 = n$, $\displaystyle {m}$ is the independent variable and $\displaystyle {m}$ is the dependent variable. This means, as we manipulate $\displaystyle {m}$, $\displaystyle {n}$ will change.

Because we are given tables in our answer choices, we can plug in the given value for $\displaystyle {m}$ from the table and use our equation from the question to see if that equals the value given for $\displaystyle {n}$ in the table.

Let's start by testing values from the following table:

$\displaystyle {\begin{tabular}{|c|c|}\hline m & n \\ \hline 1 & 6\\ \hline 2 & -6\\ \hline 4 & -31\\ \hline 10& -108\\ \hline \end{tabular}}$

$\displaystyle {-13(1)+18=6}$

$\displaystyle {-13+18=6}$

$\displaystyle {5\neq 6}$

Because this equation did not work out, this means that not all of the values from the table are representative of the relationship between $\displaystyle {m}$ and $\displaystyle {n}$ if $\displaystyle {- 13 m + 18 = n}$ ; thus, this answer choice is not correct and can be eliminated.

Next, let's test values from the following table:

$\displaystyle {\begin{tabular}{|c|c|}\hline m & n \\ \hline 0 & 18\\ \hline 4 & -68\\ \hline 6 & -120\\ \hline 14& -328\\ \hline \end{tabular}}$

$\displaystyle {-13(0)+18=18}$

$\displaystyle {0+18=18}$

$\displaystyle {18=18}$

These values are correct for our equation, but to be safe we should plug each value into our equation until we find a value that is not correct, or that each value is correct.

$\displaystyle {-13(4)+18=-68}$

$\displaystyle {-52+18=-68}$

$\displaystyle {-34\neq -68}$

Because this equation did not work out, this means that not all of the values from the table are representative of the relationship between $\displaystyle {m}$ and $\displaystyle {n}$ if $\displaystyle {- 13 m + 18 = n}$ ; thus, this answer choice is not correct and can be eliminated.

$\displaystyle {\begin{tabular}{|c|c|}\hline m & n \\ \hline 1 & 5\\ \hline 4 & -34\\ \hline 6 & -49\\ \hline 14& -164\\ \hline \end{tabular}}$

$\displaystyle {-13(1)+18=5}$

$\displaystyle {-13+18=5}$

$\displaystyle {5=5}$

These values are correct for our equation, but to be safe we should plug each value into our equation until we find a value that is not correct, or that each value is correct.

$\displaystyle {-13(4)+18=-34}$

$\displaystyle {-52+18=-34}$

$\displaystyle {-34=-34}$

Again, these values are correct for our equation, but to be safe we should plug each value into our equation until we find a value that is not correct, or that each value is correct.

$\displaystyle {-13(6)+18=-49}$

$\displaystyle {-78+18=-49}$

$\displaystyle {-60\neq -49}$

Because this equation did not work out, this means that not all of the values from the table are representative of the relationship between $\displaystyle {m}$ and $\displaystyle {n}$ if $\displaystyle {- 13 m + 18 = n}$ ; thus, this answer choice is not correct and can be eliminated.

Finally, let's test values from the following table:

$\displaystyle {\begin{tabular}{|c|c|}\hline m & n \\ \hline 0 & 18\\ \hline 7 & -73\\ \hline 11 & -125\\ \hline 14& -164\\ \hline \end{tabular}}$

$\displaystyle {-13(0)+18=18}$

$\displaystyle {0+18=18}$

$\displaystyle {18=18}$

These values are correct for our equation, but to be safe we should plug each value into our equation until we find a value that is not correct, or that each value is correct.

$\displaystyle {-13(7)+18=-73}$

$\displaystyle {-91+18=-73}$

$\displaystyle {-73=-73}$

Again, these values are correct for our equation, but to be safe we should plug each value into our equation until we find a value that is not correct, or that each value is correct.

$\displaystyle {-13(11)+18=-125}$

$\displaystyle {-143+18=-125}$

$\displaystyle {-125=-125}$

Again, these values are correct for our equation, but to be safe we should plug each value into our equation until we find a value that is not correct, or that each value is correct.

$\displaystyle {-13(14)+18=-164}$

$\displaystyle {-182+18=-164}$

$\displaystyle {-164=-164}$

All of these values were correct for our equation; thus, this table is our correct answer.

In the equation $\displaystyle 18 m - 19 = n$, $\displaystyle {m}$ is the independent variable and $\displaystyle {m}$ is the dependent variable. This means, as we manipulate $\displaystyle {m}$, $\displaystyle {n}$ will change.

Because we are given tables in our answer choices, we can plug in the given value for $\displaystyle {m}$ from the table and use our equation from the question to see if that equals the value given for $\displaystyle {n}$ in the table.

Let's start by testing values from the following table:

$\displaystyle {\begin{tabular}{|c|c|}\hline m & n \\ \hline 1 & 0\\ \hline 2 & 19\\ \hline 11 & 182\\ \hline 13& 219\\ \hline \end{tabular}}$

$\displaystyle {18(1)+-19=0}$

$\displaystyle {18+-19=0}$

$\displaystyle {-1\neq 0}$

Because this equation did not work out, this means that not all of the values from the table are representative of the relationship between $\displaystyle {m}$ and $\displaystyle {n}$ if $\displaystyle {18 m - 19 = n}$ ; thus, this answer choice is not correct and can be eliminated.

Next, let's test values from the following table:

$\displaystyle {\begin{tabular}{|c|c|}\hline m & n \\ \hline 9 & 143\\ \hline 11 & 358\\ \hline 17 & 574\\ \hline 18& 610\\ \hline \end{tabular}}$

$\displaystyle {18(9)-19=143}$

$\displaystyle {162-19=143}$

$\displaystyle {143=143}$

These values are correct for our equation, but to be safe we should plug each value into our equation until we find a value that is not correct, or that each value is correct.

$\displaystyle {18(11)-19=358}$

$\displaystyle {198-19=358}$

$\displaystyle {179\neq 358}$

Because this equation did not work out, this means that not all of the values from the table are representative of the relationship between $\displaystyle {m}$ and $\displaystyle {n}$ if $\displaystyle {18 m - 19 = n}$ ; thus, this answer choice is not correct and can be eliminated.

$\displaystyle {\begin{tabular}{|c|c|}\hline m & n \\ \hline 5 & 71\\ \hline 11 & 179\\ \hline 16 & 280\\ \hline 17& 297\\ \hline \end{tabular}}$

$\displaystyle {18(5)-19=71}$

$\displaystyle {90-19=71}$

$\displaystyle {71=71}$

These values are correct for our equation, but to be safe we should plug each value into our equation until we find a value that is not correct, or that each value is correct.

$\displaystyle {18(11)-19=179}$

$\displaystyle {198-19=179}$

$\displaystyle {179=179}$

Again, these values are correct for our equation, but to be safe we should plug each value into our equation until we find a value that is not correct, or that each value is correct.

$\displaystyle {18(16)-19=280}$

$\displaystyle {288-19=280}$

$\displaystyle {269\neq 280}$

Because this equation did not work out, this means that not all of the values from the table are representative of the relationship between $\displaystyle {m}$ and $\displaystyle {n}$ if $\displaystyle {18 m - 19 = n}$ ; thus, this answer choice is not correct and can be eliminated.

Finally, let's test values from the following table:

$\displaystyle {\begin{tabular}{|c|c|}\hline m & n \\ \hline 2 & 17\\ \hline 9 & 143\\ \hline 11 & 179\\ \hline 15& 251\\ \hline \end{tabular}}$

$\displaystyle {18(2)-19=17}$

$\displaystyle {36-19=17}$

$\displaystyle {17=17}$

These values are correct for our equation, but to be safe we should plug each value into our equation until we find a value that is not correct, or that each value is correct.

$\displaystyle {18(9)-19=143}$

$\displaystyle {162-19=143}$

$\displaystyle {143=143}$

Again, these values are correct for our equation, but to be safe we should plug each value into our equation until we find a value that is not correct, or that each value is correct.

$\displaystyle {18(11)-19=179}$

$\displaystyle {198-19=179}$

$\displaystyle {179=179}$

Again, these values are correct for our equation, but to be safe we should plug each value into our equation until we find a value that is not correct, or that each value is correct.

$\displaystyle {18(15)-19=251}$

$\displaystyle {270+-19=251}$

$\displaystyle {251=251}$

All of these values were correct for our equation; thus, this table is our correct answer.

In the equation $\displaystyle - 19 m + 14 = n$, $\displaystyle {m}$ is the independent variable and $\displaystyle {m}$ is the dependent variable. This means, as we manipulate $\displaystyle {m}$, $\displaystyle {n}$ will change.

Because we are given tables in our answer choices, we can plug in the given value for $\displaystyle {m}$ from the table and use our equation from the question to see if that equals the value given for $\displaystyle {n}$ in the table.

Let's start by testing values from the following table:

$\displaystyle {\begin{tabular}{|c|c|}\hline m & n \\ \hline 4 & -61\\ \hline 8 & -136\\ \hline 14 & -249\\ \hline 15& -267\\ \hline \end{tabular}}$

$\displaystyle {-19(4)+14=-61}$

$\displaystyle {-76+14=-61}$

$\displaystyle {-62\neq -61}$

Because this equation did not work out, this means that not all of the values from the table are representative of the relationship between $\displaystyle {m}$ and $\displaystyle {n}$ if $\displaystyle {- 19 m + 14 = n}$ ; thus, this answer choice is not correct and can be eliminated.

Next, let's test values from the following table:

$\displaystyle {\begin{tabular}{|c|c|}\hline m & n \\ \hline 7 & -119\\ \hline 13 & -466\\ \hline 14 & -504\\ \hline 18& -656\\ \hline \end{tabular}}$

$\displaystyle {-19(7)+14=-119}$

$\displaystyle {-133+14=-119}$

$\displaystyle {-119=-119}$

These values are correct for our equation, but to be safe we should plug each value into our equation until we find a value that is not correct, or that each value is correct.

$\displaystyle {-19(13)+14=-466}$

$\displaystyle {-247+14=-466}$

$\displaystyle {-233\neq -466}$

Because this equation did not work out, this means that not all of the values from the table are representative of the relationship between $\displaystyle {m}$ and $\displaystyle {n}$ if $\displaystyle {- 19 m + 14 = n}$ ; thus, this answer choice is not correct and can be eliminated.

$\displaystyle {\begin{tabular}{|c|c|}\hline m & n \\ \hline 5 & -81\\ \hline 14 & -252\\ \hline 15 & -260\\ \hline 17& -309\\ \hline \end{tabular}}$

$\displaystyle {-19(5)+14=-81}$

$\displaystyle {-95+14=-81}$

$\displaystyle {-81=-81}$

These values are correct for our equation, but to be safe we should plug each value into our equation until we find a value that is not correct, or that each value is correct.

$\displaystyle {-19(14)+14=-252}$

$\displaystyle {-266+14=-252}$

$\displaystyle {-252=-252}$

Again, these values are correct for our equation, but to be safe we should plug each value into our equation until we find a value that is not correct, or that each value is correct.

$\displaystyle {-19(15)+14=-260}$

$\displaystyle {-285+14=-260}$

$\displaystyle {-271\neq -260}$

Because this equation did not work out, this means that not all of the values from the table are representative of the relationship between $\displaystyle {m}$ and $\displaystyle {n}$ if $\displaystyle {- 19 m + 14 = n}$ ; thus, this answer choice is not correct and can be eliminated.

Finally, let's test values from the following table:

$\displaystyle {\begin{tabular}{|c|c|}\hline m & n \\ \hline 0 & 14\\ \hline 3 & -43\\ \hline 5 & -81\\ \hline 17& -309\\ \hline \end{tabular}}$

$\displaystyle {-19(0)+14=14}$

$\displaystyle {0+14=14}$

$\displaystyle {14=14}$

These values are correct for our equation, but to be safe we should plug each value into our equation until we find a value that is not correct, or that each value is correct.

$\displaystyle {-19(3)+14=-43}$

$\displaystyle {-57+14=-43}$

$\displaystyle {-43=-43}$

Again, these values are correct for our equation, but to be safe we should plug each value into our equation until we find a value that is not correct, or that each value is correct.

$\displaystyle {-19(5)+14=-81}$

$\displaystyle {-95+14=-81}$

$\displaystyle {-81=-81}$

Again, these values are correct for our equation, but to be safe we should plug each value into our equation until we find a value that is not correct, or that each value is correct.

$\displaystyle {-19(17)+14=-309}$

$\displaystyle {-323+14=-309}$

$\displaystyle {-309=-309}$

All of these values were correct for our equation; thus, this table is our correct answer.

In the equation $\displaystyle - 13 m - 3 = n$, $\displaystyle {m}$ is the independent variable and $\displaystyle {m}$ is the dependent variable. This means, as we manipulate $\displaystyle {m}$, $\displaystyle {n}$ will change.

Because we are given tables in our answer choices, we can plug in the given value for $\displaystyle {m}$ from the table and use our equation from the question to see if that equals the value given for $\displaystyle {n}$ in the table.

Let's start by testing values from the following table:

$\displaystyle {\begin{tabular}{|c|c|}\hline m & n \\ \hline 4 & -54\\ \hline 13 & -170\\ \hline 17 & -221\\ \hline 18& -233\\ \hline \end{tabular}}$

$\displaystyle {-13(4)+-3=-54}$

$\displaystyle {-52+-3=-54}$

$\displaystyle {-55\neq -54}$

Because this equation did not work out, this means that not all of the values from the table are representative of the relationship between $\displaystyle {m}$ and $\displaystyle {n}$ if $\displaystyle {- 13 m - 3 = n}$ ; thus, this answer choice is not correct and can be eliminated.

Next, let's test values from the following table:

$\displaystyle {\begin{tabular}{|c|c|}\hline m & n \\ \hline 1 & -16\\ \hline 10 & -266\\ \hline 17 & -448\\ \hline 18& -474\\ \hline \end{tabular}}$

$\displaystyle {-13(1)-3=-16}$

$\displaystyle {-13-3=-16}$

$\displaystyle {-16=-16}$

These values are correct for our equation, but to be safe we should plug each value into our equation until we find a value that is not correct, or that each value is correct.

$\displaystyle {-13(10)-3=-266}$

$\displaystyle {-130-3=-266}$

$\displaystyle {-133\neq -266}$

Because this equation did not work out, this means that not all of the values from the table are representative of the relationship between $\displaystyle {m}$ and $\displaystyle {n}$ if $\displaystyle {- 13 m - 3 = n}$ ; thus, this answer choice is not correct and can be eliminated.

$\displaystyle {\begin{tabular}{|c|c|}\hline m & n \\ \hline 0 & -3\\ \hline 2 & -29\\ \hline 9 & -109\\ \hline 18& -227\\ \hline \end{tabular}}$

$\displaystyle {-13(0)-3=-3}$

$\displaystyle {0-3=-3}$

$\displaystyle {-3=-3}$

These values are correct for our equation, but to be safe we should plug each value into our equation until we find a value that is not correct, or that each value is correct.

$\displaystyle {-13(2)-3=-29}$

$\displaystyle {-26-3=-29}$

$\displaystyle {-29=-29}$

Again, these values are correct for our equation, but to be safe we should plug each value into our equation until we find a value that is not correct, or that each value is correct.

$\displaystyle {-13(9)-3=-109}$

$\displaystyle {-117-3=-109}$

$\displaystyle {-120\neq -109}$

Because this equation did not work out, this means that not all of the values from the table are representative of the relationship between $\displaystyle {m}$ and $\displaystyle {n}$ if $\displaystyle {- 13 m - 3 = n}$ ; thus, this answer choice is not correct and can be eliminated.

Finally, let's test values from the following table:

$\displaystyle {\begin{tabular}{|c|c|}\hline m & n \\ \hline 2 & -29\\ \hline 9 & -120\\ \hline 12 & -159\\ \hline 15& -198\\ \hline \end{tabular}}$

$\displaystyle {-13(2)-3=-29}$

$\displaystyle {-26-3=-29}$

$\displaystyle {-29=-29}$

These values are correct for our equation, but to be safe we should plug each value into our equation until we find a value that is not correct, or that each value is correct.

$\displaystyle {-13(9)-3=-120}$

$\displaystyle {-117-3=-120}$

$\displaystyle {-120=-120}$

Again, these values are correct for our equation, but to be safe we should plug each value into our equation until we find a value that is not correct, or that each value is correct.

$\displaystyle {-13(12)-3=-159}$

$\displaystyle {-156-3=-159}$

$\displaystyle {-159=-159}$

Again, these values are correct for our equation, but to be safe we should plug each value into our equation until we find a value that is not correct, or that each value is correct.

$\displaystyle {-13(15)-3=-198}$

$\displaystyle {-195+-3=-198}$

$\displaystyle {-198=-198}$

All of these values were correct for our equation; thus, this table is our correct answer.