Because this is a direct variation problem, use the equation $\displaystyle{y}={k}{x}\usepackage{cmbright}\Huge\$ , where $\displaystyle{y}={33.60}\usepackage{cmbright}\Huge\$ and $\displaystyle{x}={32}\usepackage{cmbright}\Huge\$ , and solve for k.

$\displaystyle{33.60}={k}{\left({32}\right)}\usepackage{cmbright}\Huge\$ , so $\displaystyle{k}={1.05}\usepackage{cmbright}\Huge\$

Use the k value in a new direct variation equation in which $\displaystyle{x}={55}\usepackage{cmbright}\Huge\$ , and solve for y:

$\displaystyle{y}={1.05}{\left({55}\right)}\usepackage{cmbright}\Huge\$

$\displaystyle{y}={57.75}\usepackage{cmbright}\Huge\$