Question

I need to know what inverse variation equation relates x and y

Answer 1

For this problem, we are told that two variables, x, and y, vary inversely. We need to determine which expression represents the relation for a pair of values.

When two variables vary inversely, we can write their relation as:

`xy=k`

Replacing the values, we have:

`\begin{gathered} a\cdot a^2=k\\ \\ k=a^3 \end{gathered}`

Therefore the expression is:

`\begin{gathered} xy=a^3\\ \\ y=(a^3)/(x) \end{gathered}`

The correct option is C.