Chapter 9 - Section 9.4 - Variation and Problem Solving - Practice - Page 660: 6

The constant of variation is $96$. The variation equation $y=\frac{96}{x^2}$.

$y=\frac{k}{x^2}$ $y=24;x=2$ $24=\frac{k}{2^2}$ $24=\frac{k}{4}$ $24\times4=\frac{k}{4}\times4$ $k=96$ $y=\frac{96}{x^2}$ The constant of variation is $96$. The variation equation $y=\frac{96}{x^2}$.