Chapter 9 - Section 9.4 - Variation and Problem Solving - Exercise Set - Page 664: 36

The constant of variation is $1.1$. The variation equation is $y=\frac{1.1}{x^2}$.

$y=\frac{k}{x^2}$ $y=0.011;x=10$ $0.011=\frac{k}{10^2}$ $0.011=\frac{k}{100}$ $k=1.1$ $y=\frac{1.1}{x^2}$ The constant of variation is $1.1$. The variation equation is $y=\frac{1.1}{x^2}$.