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 304: 19

Answer

y=2.6x; 31.2

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 \\\\ 10.4=4k \\\\ k=2.6$ We substitute k back in to get the equation: $y=2.6x$ We now plug in x=12: $y=(2.6)(12)=31.2$
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