The graph shows that 200 miles are traveled in 5 hours. Using the equation for direct variation, $\displaystyle{y}={k}{x}\usepackage{cmbright}\Huge\$ , you get: $\displaystyle{200}={k}{\left({5}\right)}\usepackage{cmbright}\Huge\$ .

Solve for k to find $\displaystyle{k}={40}\usepackage{cmbright}\Huge\$ . Use this k value and $\displaystyle{x}={12}\usepackage{cmbright}\Huge\$ in a new equation for direct variation, and solve for y:

$\displaystyle{y}={40}{\left({12}\right)}\usepackage{cmbright}\Huge\$ or $\displaystyle{y}={480}\usepackage{cmbright}\Huge\$