Algebra 1: Common Core (15th Edition)

Published by Prentice Hall
ISBN 10: 0133281140
ISBN 13: 978-0-13328-114-9

Chapter 5 - Linear Functions - 5-2 Direct Variation - Practice and Problem-Solving Exercises - Page 305: 30

Answer

$y=\frac{1}{6}x$

Work Step by Step

As we know a direct variation is present, we can find the relation between x and y by substituting the values into the direct variation equation: $y=kx$ $\frac{1}{2}=k(3)$ $k=\frac{1}{2}\div3$ $k=\frac{1}{6}$ Then, substitute the k-value into the original equation to get the direct variation: $y=\frac{1}{6}x$ Then, graph the equation (see attached image).
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