Answer
$k = 2.5$
Therefore, our equation for the inverse variation is $y = \frac{2.5}{x}$ or $xy = 2.5$
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.
$\frac{1}{2}\times5 = k$
$ 2.5 = k$
So, $k = 2.5$
Therefore, our equation for the inverse variation is $y = \frac{2.5}{x}$ or $xy = 2.5$
