Question

Which of the following equations is an example of inverse variation between the variables x and y?

Answer 1

C

Explanation:

A and B are examples of direct variations because there is a nonzero constant k in each such that y=kx. A's k=1/12 while B's k=12.

D is not a direct or inverse variation because of the plus/minus constant.

C is an inverse variation because it has form y=k/x where k is nonzero. This k=12.

Answer 2

C

Explanation:

The equation representing inverse variation is

y =
`(k)/(x)` ← k is the constant of variation

The only equation that fits this description is

y =
`(12)/(x)` → C