College Algebra (6th Edition)

Published by Pearson
ISBN 10: 0-32178-228-3
ISBN 13: 978-0-32178-228-1

Chapter 1 - Equations and Inequalities - Exercise Set 1.6 - Page 180: 110

Answer

a. $52\%$ b. $52.2(\%)$ c. $52$ years or year 2024.

Work Step by Step

a. Given $p=-2.2\sqrt t+63.8$ for the percentage of jobs held by men, use the given blue curve, locate the horizontal coordinate as $t=2000$, read the corresponding vertical value to give $p\approx52\%$ b. As $t$ starts at year 1972, for year 2000, we have $t=2000−1972=28$, thus $p=-2.2\sqrt {28}+63.8\approx 52.2(\%)$ c. For $p=48\ %$, we have $-2.2\sqrt t+63.8=48$ which gives $\sqrt t\approx7.18$ and $t\approx52$ years which corresponds to $1972+52=2024$ or year 2024.
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