Answer
$y = \frac{56}{x}$ or xy = 56
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.
$8\times7 = k$
$56 = k$
$k = 56$
Therefore, our equation for the inverse variation is $y = \frac{56}{x}$ or xy = 56