Answer
$y = \frac{10}{x}$ or $xy = 10$
Work Step by Step
Our equation for an inverse variation is $y = \frac{k}{x}$ or $xy = k$. We will use the second form of the equation to solve for k.
$4\times2.5 = k$
$ 10 = k$
$k = 10$
Therefore, our equation for the inverse variation is $y = \frac{10}{x}$ or $xy = 10$