Precalculus (6th Edition) Blitzer

Published by Pearson
ISBN 10: 0-13446-914-3
ISBN 13: 978-0-13446-914-0

Chapter P - Section P.7 - Equations - Exercise Set - Page 108: 144

Answer

a. about $52\%$ b. $51.9\%$ c. year $2036$

Work Step by Step

a. Use the top curve (blue) for men and read at year 2010 to get a percentage value of about $52\%$. b. Given the formula $p=-1.6\sqrt t+62$ and the year $t=2010-1970=40$, we have $p=-1.6\sqrt {40}+62\approx51.9(\%)$ c. Let $p=49(\%)$. We have $-1.6\sqrt t+62=49$ and $1.6\sqrt t=13$, which gives $t\approx66$ years. This corresponds to year $1970+66=2036$.
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