## Algebra 2 Common Core

$0.625$
To find $y$ when $x=5$, set up a proportion. Since $y$ varies directly with $x$, use two forms of $\frac{y}{x}$ in the proportion. $\frac{\frac{1}{2}}{4}=\frac{y}{5}$ Now write the cross products. $\frac{1}{2}(5)=4y$ Simplify. $2.5=4y$ Divide each side by 4. $\frac{2.5}{4}=\frac{4y}{4}$ Simplify. $0.625=y$