All Algebra II Resources
Example Questions
Example Question #1 : How To Find Direct Variation
varies directly with the square root of . If , then . What is the value of if ?
None of these answers are correct.
If varies directly with the square root of , then for some constant of variation ,
If , then ; therefore, the equation becomes
,
or
.
Divide by 5 to get , making the equation
.
If , then .
Example Question #2 : Variable Relationships
If varies directly with and when , due to the effect of a constant, what is the value of when ?
Since varies directly with , where is a constant.
1. Solve for when and .
2. Use your equation to solve for when .
Example Question #433 : Basic Statistics
If varies indirectly with and when , due to the effect of a constant, what is the value of when ?
Since varies indirectly with ,
1. Solve for when and .
2. Use the equation you found to solve for when .
Example Question #2 : Variable Relationships
varies directly with . If , what is if ?
1. Since varies directly with :
with K being some constant.
2. Solve for K using the x and y values given:
3. Use the equation you solved for to find the value of y:
Example Question #4 : Identifying Variable Relationships
varies inversely with . If , then what is equal to when ?
1. Since varies indirectly with :
2. Use the given x and y values to determine the value of K:
3. Using the equation along with the value of K, find the value of y when x=5:
Example Question #5 : Identifying Variable Relationships
varies directly with and when . What is when ?
1. Since varies directly with :
2. Use the values given for x and y to solve for K:
3. Use your new equation with the K you solved for to solve for y when x=27:
Example Question #441 : Basic Statistics
varies inversely with . When . What is the value of when ?
1. Since y varies indirectly with :
2. Solve for K using the x and y values given:
3. Using the equation you created by solving for K, find y when x=100:
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