Precalculus (6th Edition) Blitzer

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

Chapter 2 - Review Exercises - Page 432: 82


a. $P(x)= 2.92x+236$ (millions) b. $R(x)=\frac{1.48x + 115.1}{2.92x+272}$ c. $y\approx0.51$

Work Step by Step

a. The total population is the sum of the two functions: $P(x)=M(x)+F(x)=1.48x + 115.1+1.44x + 120.9=2.92x+236$ (millions) b. The function of men in the total population is given by $R(x)=\frac{1.48x + 115.1}{2.92x+272}$ c. To obtain the horizontal asymptote of the above function, let $x\to\infty$ We have $y=\lim_{x\to\infty}\frac{1.48 + 115.1/x}{2.92+272/x}=\frac{1.48}{2.92}\approx0.51$ This means that the percentage of men in the US population will approach 0.51 over time.
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