Answer
See below.
Work Step by Step
If the variables vary directly, then $l=ap$ for some constant $a$. Similarly $w=bl$ for some constant $b$. Then $w=bl=b(ap)=p(ab)$ where $ab$ is a constant, thus $w$ and $p$ vary directly.
Algebra 2 (1st Edition)
by Larson, Ron; Boswell, Laurie; Kanold, Timothy D.; Stiff, Lee
Published by
McDougal Littell
ISBN 10:
0618595414
ISBN 13:
978-0-61859-541-9
Chapter 2 Linear Equations and Functions - 2.5 Model Direct Variations - 2.5 Exercises - Problem Solving - Page 111: 45
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