Question

Describe the following variation y/x^2=5

A. y varies inversely as the square of x.
B. y varies directly as x.
C. y varies directly as the square of x.
D. y varies inversely as x.

Answer 1

Option C is correct

Explanation:

Given the expression

`(y)/(x^2)=5`

We have to describe the variation.

`Expression:(y)/(x^2)=5`

`y=5x^2`

`y=cx^2` where c is equals to 5

`y \propto x^2`

which shows y varies directly as the square of x.

Option C is correct

Answer 2

I believe the correct answer is C. The variation of the function y/x^2=5  would be stated as " y varies directly as the square of x." It is a direct variation since as the y value increases, the value of x increases but increases raise to the power of 2.