Algebra 2 Common Core

Published by Prentice Hall
ISBN 10: 0133186024
ISBN 13: 978-0-13318-602-4

Chapter 2 - Functions, Equations, and Graphs - 2-2 Direct Variation - Practice and Problem-Solving Exercises - Page 72: 43



Work Step by Step

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. $0.625=y$
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