All GRE Math Resources
Example Questions
Example Question #1 : How To Find Inverse Variation
Find the inverse equation of:
To solve for an inverse, we switch x and y and solve for y. Doing so yields:
Example Question #2 : How To Find Inverse Variation
Find the inverse equation of .
1. Switch the and variables in the above equation.
2. Solve for :
Example Question #3 : How To Find Inverse Variation
When , .
When , .
If varies inversely with , what is the value of when ?
If varies inversely with , .
1. Using any of the two combinations given, solve for :
Using :
2. Use your new equation and solve when :
Example Question #1 : How To Find Inverse Variation
x |
y |
If varies inversely with , what is the value of ?
An inverse variation is a function in the form: or , where is not equal to 0.
Substitute each in .
Therefore, the constant of variation, , must equal 24. If varies inversely as , must equal 24. Solve for .
Example Question #3 : How To Find Inverse Variation
and vary inversely. When , . When , . What does equal when ?
Because we know and vary inversely, we know that for some .
When , . .
When , . .
Therefore, when , we have so