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.

Respuesta :

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.

Answer:

Option C is correct    

Step-by-step explanation:

Given the expression

[tex]\frac{y}{x^2}=5[/tex]

We have to describe the variation.

[tex]Expression:\frac{y}{x^2}=5[/tex]

[tex]y=5x^2[/tex]

[tex]y=cx^2[/tex]   where c is equals to 5

[tex]y \propto x^2[/tex]

which shows y varies directly as the square of x.

Option C is correct