All SAT Math Resources
Example Questions
Example Question #3 : How To Use The Inverse Variation Formula
varies directly as the square of and the cube root of , and inversely as the fourth root of . Which of the following is a true statement?
varies directly as the square root of and the eighth root of , and inversely as the sixth power of .
varies directly as the square root of and the eighth root of , and inversely as the sixth root of .
varies directly as the square root of and the eighth power of , and inversely as the sixth root of .
varies directly as the square root of , and inversely as the eighth root of and the sixth root of .
varies directly as the square root of , and inversely as the eighth power of and the sixth power of .
varies directly as the square root of and the eighth root of , and inversely as the sixth root of .
varies directly as the square of and the cube root of , and inversely as the fourth root of , so, for some constant of variation ,
We take the reciprocal of both sides, then extract the square root:
Taking as the constant of variation, we see that varies directly as the square root of and the eighth root of , and inversely as the sixth root of .
Example Question #11 : Direct And Inverse Variation
If varies inversely as , and when , find when .
The formula for inverse variation is as follows:
Use the x and y values from the first part of the sentence to find k.
Then use that k value and the given x value to find y.