This question is testing one's ability to recognize functions in everyday situations and build the mathematical model that shows the relationship between two quantities. A question such as this requires examination into the behavior between the quantities, whether it be explicit expression, a recursive process, or a multi-step calculation. It also requires the use of algebraic operations to solve the question at hand and then build a function that models the relationship.

For the purpose of Common Core Standards, writing a function which describes a relationship falls within the Cluster A of build a function that models a relationship between two quantities concept (CCSS.Math.content.HSF.BF.A). Questions in this cluster depend heavily of building an understanding between real life situations as seen through a mathematical perspective.

Knowing the standard and the concept for which it relates to, we can now do the step-by-step process to solve the problem in question.

Step 1: Identify what the question is asking for.

Step 2: Identify what is given/known from the question.

Step 3: Using algebraic methods creating function to describe relationship.

Step 4: Answer the question.

Following the steps listed above for this particular problem is as follows.

Step 1: Identify what the question is asking for.

How many weeks will Sally need to work to earn enough money to buy the new computer?

Step 2: Identify what is given/known from the question.

The computer costs $\displaystyle \$1\textup,216$

Sally earns $\displaystyle \$$8/hour$

Sally works $\displaystyle $8 hours/week$

Step 3: Using algebraic methods creating function to describe relationship.

$\displaystyle \\ \textup{Cost of Computer}=\$1216 \\ \textup{Wage}= \$8\cdot \textup{hours} \\ \textup{Weekly Hours Worked}=8 \\ \textup{Cost of Computer}=\textup{Wage}\times \textup{Weekly Hours Worked}\times \textup{Weeks Worked}$

Step 4: Answer the question.

From this model, substitute in the known values and solve for the weeks worked to answer the question.

$\displaystyle \\ \textup{Cost of Computer}=\textup{Wage}\times \textup{Weekly Hours Worked}\times \textup{Weeks Worked} \\ \$1216=\$8\times 8\times \textup{Weeks Worked} \\ \$1216=\$64 \times \textup{Weeks Worked}$

Using algebraic operations divide by 64 on both sides to calculate the number of weeks Sally will need to work.

$\displaystyle \\ \frac{\$1216}{\$64}=\textup{Weeks Worked} \\ \\ 19=\textup{Weeks Worked}$

This question is testing one's ability to recognize functions in everyday situations and build the mathematical model that shows the relationship between two quantities. A question such as this requires examination into the behavior between the quantities, whether it be explicit expression, a recursive process, or a multi-step calculation. It also requires the use of algebraic operations to solve the question at hand and then build a function that models the relationship.

For the purpose of Common Core Standards, writing a function which describes a relationship falls within the Cluster A of build a function that models a relationship between two quantities concept (CCSS.MATH.CONTENT.HSF.BF.A). Questions in this cluster depend heavily of building an understanding between real life situations as seen through a mathematical perspective.

Knowing the standard and the concept for which it relates to, we can now do the step-by-step process to solve the problem in question.

Step 1: Identify what the question is asking for.

Step 2: Identify what is given/known from the question.

Step 3: Using algebraic methods creating function to describe relationship.

Step 4: Answer the question.

Following the steps listed above for this particular problem is as follows.

Step 1: Identify what the question is asking for.

How many weeks will Jane need to work to earn enough money to buy the new backpack?

Step 2: Identify what is given/known from the question.

The backpack costs $\displaystyle \$112$

Jane earns $\displaystyle \$$4/hour$

Jane works $\displaystyle $3 hours/week$

Step 3: Using algebraic methods creating function to describe relationship.

$\displaystyle \\ \textup{Cost of Backpack}=\$112 \\ \textup{Wage}= \$4\cdot \textup{hours} \\ \textup{Weekly Hours Worked}=3 \\ \textup{Cost of Backpack}=\textup{Wage}\times \textup{Weekly Hours Worked}\times \textup{Weeks Worked}$

Step 4: Answer the question.

From this model, substitute in the known values and solve for the weeks worked to answer the question.

$\displaystyle \\ \textup{Cost of Backpack}=\textup{Wage}\times \textup{Weekly Hours Worked}\times \textup{Weeks Worked} \\ \$112=\$4\times 3\times \textup{Weeks Worked} \\ \$112=\$12 \times \textup{Weeks Worked}$

Using algebraic operations divide by 12 on both sides to calculate the number of weeks Jane will need to work.

$\displaystyle \\ \frac{\$112}{\$12}=\textup{Weeks Worked} \\ \\ 9.\overline{3}=\textup{Weeks Worked}\\ \\10=\textup{Weeks Worked}$

This question is testing one's ability to recognize functions in everyday situations and build the mathematical model that shows the relationship between two quantities. A question such as this requires examination into the behavior between the quantities, whether it be explicit expression, a recursive process, or a multi-step calculation. It also requires the use of algebraic operations to solve the question at hand and then build a function that models the relationship.

For the purpose of Common Core Standards, writing a function which describes a relationship falls within the Cluster A of build a function that models a relationship between two quantities concept (CCSS.MATH.CONTENT.HSF.BF.A). Questions in this cluster depend heavily of building an understanding between real life situations as seen through a mathematical perspective.

Knowing the standard and the concept for which it relates to, we can now do the step-by-step process to solve the problem in question.

Step 1: Identify what the question is asking for.

Step 2: Identify what is given/known from the question.

Step 3: Using algebraic methods creating function to describe relationship.

Step 4: Answer the question.

Following the steps listed above for this particular problem is as follows.

Step 1: Identify what the question is asking for.

How many lawns will Jenny need to work to earn enough money to buy the new bike?

Step 2: Identify what is given/known from the question.

The bike costs $\displaystyle \$85$

Jenny earns $\displaystyle \$$5/lawn$

Step 3: Using algebraic methods creating function to describe relationship.

$\displaystyle \\ \textup{Cost of Bike}=\$85 \\ \textup{Wage}= \$5\cdot \textup{lawn} \\ \textup{Cost of Bike}=\textup{Wage}\times \#\textup{Lawns}$

Step 4: Answer the question.

From this model, substitute in the known values and solve for the weeks worked to answer the question.

$\displaystyle \\ \textup{Cost of Bike}=\textup{Wage}\times\#\textup{Lawns} \\ \$85=\$5\times \#\textup{Lawns}$

Using algebraic operations divide by 5 on both sides to calculate the number of lawns Jenny will need to work.

$\displaystyle \\ \frac{\$85}{\$5}=\textup{Weeks Worked} \\ \\ 17=\#\textup{Lawns}$

This question is testing one's ability to recognize functions in everyday situations and build the mathematical model that shows the relationship between two quantities. A question such as this requires examination into the behavior between the quantities, whether it be explicit expression, a recursive process, or a multi-step calculation. It also requires the use of algebraic operations to solve the question at hand and then build a function that models the relationship.

For the purpose of Common Core Standards, writing a function which describes a relationship falls within the Cluster A of build a function that models a relationship between two quantities concept (CCSS.MATH.CONTENT.HSF.BF.A). Questions in this cluster depend heavily of building an understanding between real life situations as seen through a mathematical perspective.

Knowing the standard and the concept for which it relates to, we can now do the step-by-step process to solve the problem in question.

Step 1: Identify what the question is asking for.

Step 2: Identify what is given/known from the question.

Step 3: Using algebraic methods creating function to describe relationship.

Step 4: Answer the question.

Following the steps listed above for this particular problem is as follows.

Step 1: Identify what the question is asking for.

How many lawns will Jenny need to work to earn $\displaystyle \$400$?

Step 2: Identify what is given/known from the question.

Total money saved $\displaystyle \$400$

Jenny earns $\displaystyle \$$5/lawn$

Step 3: Using algebraic methods creating function to describe relationship.

$\displaystyle \\ \textup{Total Savings}=\$400 \\ \textup{Wage}= \$5\cdot \textup{lawn} \\ \textup{Total Savings}=\textup{Wage}\times \#\textup{Lawns}$

Step 4: Answer the question.

From this model, substitute in the known values and solve for the weeks worked to answer the question.

$\displaystyle \\ \textup{Total Savings}=\textup{Wage}\times\#\textup{Lawns} \\ \$400=\$5\times \#\textup{Lawns}$

Using algebraic operations divide by 5 on both sides to calculate the number of lawns Jenny will need to work.

$\displaystyle \\ \frac{\$400}{\$5}=\textup{Weeks Worked} \\ \\ 80=\#\textup{Lawns}$

This question is testing one's ability to recognize functions in everyday situations and build the mathematical model that shows the relationship between two quantities. A question such as this requires examination into the behavior between the quantities, whether it be explicit expression, a recursive process, or a multi-step calculation. It also requires the use of algebraic operations to solve the question at hand and then build a function that models the relationship.

For the purpose of Common Core Standards, writing a function which describes a relationship falls within the Cluster A of build a function that models a relationship between two quantities concept (CCSS.MATH.CONTENT.HSF.BF.A). Questions in this cluster depend heavily of building an understanding between real life situations as seen through a mathematical perspective.

Knowing the standard and the concept for which it relates to, we can now do the step-by-step process to solve the problem in question.

Step 1: Identify what the question is asking for.

Step 2: Identify what is given/known from the question.

Step 3: Using algebraic methods creating function to describe relationship.

Step 4: Answer the question.

Following the steps listed above for this particular problem is as follows.

Step 1: Identify what the question is asking for.

How many weeks will Jane need to work to earn enough money to buy the new backpack?

Step 2: Identify what is given/known from the question.

The backpack costs $\displaystyle \$72$

Jane earns $\displaystyle \$$4/hour$

Jane works $\displaystyle $3 hours/week$

Step 3: Using algebraic methods creating function to describe relationship.

$\displaystyle \\ \textup{Cost of Backpack}=\$72 \\ \textup{Wage}= \$4\cdot \textup{hours} \\ \textup{Weekly Hours Worked}=3 \\ \textup{Cost of Backpack}=\textup{Wage}\times \textup{Weekly Hours Worked}\times \textup{Weeks Worked}$

Step 4: Answer the question.

From this model, substitute in the known values and solve for the weeks worked to answer the question.

$\displaystyle \\ \textup{Cost of Backpack}=\textup{Wage}\times \textup{Weekly Hours Worked}\times \textup{Weeks Worked} \\ \$72=\$4\times 3\times \textup{Weeks Worked} \\ \$72=\$12 \times \textup{Weeks Worked}$

Using algebraic operations divide by $\displaystyle 12$ on both sides to calculate the number of weeks Jane will need to work.

$\displaystyle \\ \frac{\$72}{\$12}=\textup{Weeks Worked} \\ \\ 6=\textup{Weeks Worked}$

This question is testing one's ability to recognize functions in everyday situations and build the mathematical model that shows the relationship between two quantities. A question such as this requires examination into the behavior between the quantities, whether it be explicit expression, a recursive process, or a multi-step calculation. It also requires the use of algebraic operations to solve the question at hand and then build a function that models the relationship.

For the purpose of Common Core Standards, writing a function which describes a relationship falls within the Cluster A of build a function that models a relationship between two quantities concept (CCSS.Math.content.HSF.BF.A). Questions in this cluster depend heavily of building an understanding between real life situations as seen through a mathematical perspective.

Knowing the standard and the concept for which it relates to, we can now do the step-by-step process to solve the problem in question.

Step 1: Identify what the question is asking for.

Step 2: Identify what is given/known from the question.

Step 3: Using algebraic methods creating function to describe relationship.

Step 4: Answer the question.

Following the steps listed above for this particular problem is as follows.

Step 1: Identify what the question is asking for.

How many weeks will Sally need to work to earn enough money to buy the new computer?

Step 2: Identify what is given/known from the question.

The computer costs $\displaystyle \$216$

Sally earns $\displaystyle \$$4/hour$

Sally works $\displaystyle $8 hours/week$

Step 3: Using algebraic methods creating function to describe relationship.

$\displaystyle \\ \textup{Cost of Computer}=\$216 \\ \textup{Wage}= \$4\cdot \textup{hours} \\ \textup{Weekly Hours Worked}=8 \\ \textup{Cost of Computer}=\textup{Wage}\times \textup{Weekly Hours Worked}\times \textup{Weeks Worked}$

Step 4: Answer the question.

From this model, substitute in the known values and solve for the weeks worked to answer the question.

$\displaystyle \\ \textup{Cost of Computer}=\textup{Wage}\times \textup{Weekly Hours Worked}\times \textup{Weeks Worked} \\ \$216=\$4\times 8\times \textup{Weeks Worked} \\ \$216=\$32 \times \textup{Weeks Worked}$

Using algebraic operations divide by $\displaystyle 32$ on both sides to calculate the number of weeks Sally will need to work.

$\displaystyle \\ \frac{\$216}{\$32}=\textup{Weeks Worked} \\ \\ 6.75=\textup{Weeks Worked}\\ \\7=\textup{Weeks Worked}$

This question is testing one's ability to recognize functions in everyday situations and build the mathematical model that shows the relationship between two quantities. A question such as this requires examination into the behavior between the quantities, whether it be explicit expression, a recursive process, or a multi-step calculation. It also requires the use of algebraic operations to solve the question at hand and then build a function that models the relationship.

For the purpose of Common Core Standards, writing a function which describes a relationship falls within the Cluster A of build a function that models a relationship between two quantities concept (CCSS.MATH.CONTENT.HSF.BF.A). Questions in this cluster depend heavily of building an understanding between real life situations as seen through a mathematical perspective.

Knowing the standard and the concept for which it relates to, we can now do the step-by-step process to solve the problem in question.

Step 1: Identify what the question is asking for.

Step 2: Identify what is given/known from the question.

Step 3: Using algebraic methods creating function to describe relationship.

Step 4: Answer the question.

Following the steps listed above for this particular problem is as follows.

Step 1: Identify what the question is asking for.

How many hours will Bob need to work to earn $\displaystyle \$30$?

Step 2: Identify what is given/known from the question.

Price of necklace is $\displaystyle \$30$.

Bob earns $\displaystyle \$$2/hours$

Step 3: Using algebraic methods creating function to describe relationship.

$\displaystyle \\ \textup{Cost of Necklace}=\$30 \\ \textup{Wage}= \$2\cdot \textup{hour} \\ \textup{Cost of Necklace}=\textup{Wage}\times \#\textup{hours}$

Step 4: Answer the question.

From this model, substitute in the known values and solve for the weeks worked to answer the question.

$\displaystyle \\ \textup{Cost of Necklace}=\textup{Wage}\times\#\textup{hours} \\ \$30=\$2\times \#\textup{hours}$

Using algebraic operations divide by 2 on both sides to calculate the number of hours Bob will need to work.

$\displaystyle \\ \frac{\$30}{\$2}=\#\textup{hours} \\ \\ 15=\#\textup{hours}$

$\displaystyle \$$2/hours$This question is testing one's ability to recognize functions in everyday situations and build the mathematical model that shows the relationship between two quantities. A question such as this requires examination into the behavior between the quantities, whether it be explicit expression, a recursive process, or a multi-step calculation. It also requires the use of algebraic operations to solve the question at hand and then build a function that models the relationship.

For the purpose of Common Core Standards, writing a function which describes a relationship falls within the Cluster A of build a function that models a relationship between two quantities concept (CCSS.MATH.CONTENT.HSF.BF.A). Questions in this cluster depend heavily of building an understanding between real life situations as seen through a mathematical perspective.

Knowing the standard and the concept for which it relates to, we can now do the step-by-step process to solve the problem in question.

Step 1: Identify what the question is asking for.

Step 2: Identify what is given/known from the question.

Step 3: Using algebraic methods creating function to describe relationship.

Step 4: Answer the question.

Following the steps listed above for this particular problem is as follows.

Step 1: Identify what the question is asking for.

How many hours will Bob need to work to earn $\displaystyle \$350$?

Step 2: Identify what is given/known from the question.

Total savings goal is $\displaystyle \$350$.

Bob earns $\displaystyle \$$2/hours$

Step 3: Using algebraic methods creating function to describe relationship.

$\displaystyle \\ \textup{Total Savings}=\$350 \\ \textup{Wage}= \$2\cdot \textup{hour} \\ \textup{Total Savings}=\textup{Wage}\times \#\textup{hours}$

Step 4: Answer the question.

From this model, substitute in the known values and solve for the weeks worked to answer the question.

$\displaystyle \\ \textup{Total Savings}=\textup{Wage}\times\#\textup{hours} \\ \$350=\$2\times \#\textup{hours}$

Using algebraic operations divide by $\displaystyle 2$ on both sides to calculate the number of hours Bob will need to work.

$\displaystyle \\ \frac{\$350}{\$2}=\#\textup{hours} \\ \\ 175=\#\textup{hours}$

This question is testing one's ability to recognize functions in everyday situations and build the mathematical model that shows the relationship between two quantities. A question such as this requires examination into the behavior between the quantities, whether it be explicit expression, a recursive process, or a multi-step calculation. It also requires the use of algebraic operations to solve the question at hand and then build a function that models the relationship.

For the purpose of Common Core Standards, writing a function which describes a relationship falls within the Cluster A of build a function that models a relationship between two quantities concept (CCSS.MATH.CONTENT.HSF.BF.A). Questions in this cluster depend heavily of building an understanding between real life situations as seen through a mathematical perspective.

Knowing the standard and the concept for which it relates to, we can now do the step-by-step process to solve the problem in question.

Step 1: Identify what the question is asking for.

Step 2: Identify what is given/known from the question.

Step 3: Using algebraic methods creating function to describe relationship.

Step 4: Answer the question.

Following the steps listed above for this particular problem is as follows.

Step 1: Identify what the question is asking for.

How many hours will Bob need to work to earn $\displaystyle \$$45$?

Step 2: Identify what is given/known from the question.

Price of necklace is $\displaystyle \$$45$.

Bob earns $\displaystyle \$$5/hours$

Step 3: Using algebraic methods creating function to describe relationship.

$\displaystyle \\ \textup{Cost of Necklace}=\$45 \\ \textup{Wage}= \$5\cdot \textup{hour} \\ \textup{Cost of Necklace}=\textup{Wage}\times \#\textup{hours}$

Step 4: Answer the question.

From this model, substitute in the known values and solve for the weeks worked to answer the question.

$\displaystyle \\ \textup{Cost of Necklace}=\textup{Wage}\times\#\textup{hours} \\ \$45=\$5\times \#\textup{hours}$

Using algebraic operations divide by $\displaystyle 5$ on both sides to calculate the number of hours Bob will need to work.

$\displaystyle \\ \frac{\$45}{\$5}=\#\textup{hours} \\ \\ 9=\#\textup{hours}$

This question is testing one's ability to recognize functions in everyday situations and build the mathematical model that shows the relationship between two quantities. A question such as this requires examination into the behavior between the quantities, whether it be explicit expression, a recursive process, or a multi-step calculation. It also requires the use of algebraic operations to solve the question at hand and then build a function that models the relationship.

For the purpose of Common Core Standards, writing a function which describes a relationship falls within the Cluster A of build a function that models a relationship between two quantities concept (CCSS.MATH.CONTENT.HSF.BF.A). Questions in this cluster depend heavily of building an understanding between real life situations as seen through a mathematical perspective.

Knowing the standard and the concept for which it relates to, we can now do the step-by-step process to solve the problem in question.

Step 1: Identify what the question is asking for.

Step 2: Identify what is given/known from the question.

Step 3: Using algebraic methods creating function to describe relationship.

Step 4: Answer the question.

Following the steps listed above for this particular problem is as follows.

Step 1: Identify what the question is asking for.

How many hours will Bob need to work to earn $\displaystyle \$$30$?

Step 2: Identify what is given/known from the question.

Price of necklace is $\displaystyle \$$30$.

Bob earns $\displaystyle \$$8/hours$

Step 3: Using algebraic methods creating function to describe relationship.

$\displaystyle \\ \textup{Cost of Necklace}=\$30 \\ \textup{Wage}= \$8\cdot \textup{hour} \\ \textup{Cost of Necklace}=\textup{Wage}\times \#\textup{hours}$

Step 4: Answer the question.

From this model, substitute in the known values and solve for the weeks worked to answer the question.

$\displaystyle \\ \textup{Cost of Necklace}=\textup{Wage}\times\#\textup{hours} \\ \$30=\$8\times \#\textup{hours}$

Using algebraic operations divide by $\displaystyle 8$ on both sides to calculate the number of hours Bob will need to work.

$\displaystyle \\ \frac{\$30}{\$8}=\#\textup{hours} \\ \\ 3.75=\#\textup{hours}\\ \\4=\#\textup{hours}$