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: 20

Answer

$y=-18.667x; -224$

Work Step by Step

We know direct variation has the equation y=kx. Thus, we plug in the points and solve for k: $ y=kx \\\\ 9\frac{1}{3}=-.5k \\\\ k=-18.667$ We substitute k back in to get the equation: $y=-18.667x$ We now plug in x=12: $y=(-18.667)(12)=-224$
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