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: 44

Answer

$y=4.5$

Work Step by Step

To find $y$ when $x=3$, set up a proportion using two forms of $\frac{y}{x}$ $\frac{\frac{3}{4}}{\frac{1}{2}}=\frac{y}{3}$ Now write the cross products $\frac{3}{4}(3)=(\frac{1}{2})y$ Simplify $2.25=(\frac{1}{2})y$ Multiply each side by 2 $2(2.25)=(\frac{1}{2})y(2)$ Simplify $4.5=y$
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