Use the equation for inverse variation and the given values for x and y to find k.

$\displaystyle{y}=\frac{{k}}{{x}}\usepackage{cmbright}\Huge\$

$\displaystyle{24}=\frac{{k}}{{4}}\usepackage{cmbright}\Huge\$

so $\displaystyle{k}={96}\usepackage{cmbright}\Huge\$

Use this value of k and the given second value for x to find y:

$\displaystyle{y}=\frac{{96}}{{6}}\usepackage{cmbright}\Huge\$ or $\displaystyle{y}={16}\usepackage{cmbright}\Huge\$