College Algebra 7th Edition

Published by Brooks Cole
ISBN 10: 1305115546
ISBN 13: 978-1-30511-554-5

Chapter 2, Functions - Focus on Modeling - Modeling with Functions - Problems - Page 276: 6


$P(x)=\frac{32}{x}+2x$, $x>0$

Work Step by Step

We know that the area of the rectangle is: $A=lw=16$ We can solve this for $l$: $l=\frac{16}{w}$ We plug this into the perimeter formula: $P=2l+2w=2(\frac{16}{w})+2w=\frac{32}{w}+2w$ (With $w>0$.) If we use $x$ for $w$, then: $P(x)=\frac{32}{x}+2x$, $x>0$
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