Algebra 2 (1st Edition)

Published by McDougal Littell
ISBN 10: 0618595414
ISBN 13: 978-0-61859-541-9

Chapter 8 Rational Functions - 8.1 Model Inverse and Joint Variation - 8.1 Exercises - Problem Solving - Page 557: 42b


Increases by a factor of $8$

Work Step by Step

Here, we have $P=\dfrac{WD^2}{L}$ ...(1) When the width and depth are doubled. $P'=\dfrac{(2 W) (2D)^2}{L}=\dfrac{1}{8}\dfrac{WD^2}{L}$ ...(2) From the equations (1) and (2), we find that when the width and depth are doubled the load increases by a factor of $8$.
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