Precalculus (6th Edition)

Published by Pearson
ISBN 10: 013421742X
ISBN 13: 978-0-13421-742-0

Chapter 3 - Polynomial and Rational Functions - 3.6 Variation - 3.6 Exercises - Page 390: 47

Answer

$21$

Work Step by Step

Step 1. Assume $B\ $ is a person’s BMI. Step 2. Assume $w\ (lb)$ is the weight of the car and $h\ (in)$ is the height. Step 3. From the given conditions, we have $B=kw/h^2$ and $24=k(177)/(6\times12)^2$, thus $k=\frac{24(72)^2}{177}$ Step 4. For $w=130\ (lb)$, $h=66\ (in)$, we have $B=kw/h^2=\frac{24(72)^2}{177}\times\frac{130}{66^2}\approx21$
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