Precalculus (6th Edition) Blitzer

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

Chapter 3 - Section 3.1 - Exponential Functions - Exercise Set - Page 450: 76


The second model $g(x)$ is better.

Work Step by Step

Step 1. For year 1990, $x=1990-1950=40$, the first model gives $f(40) = 6.43(1.027)^{40}\approx18.67$ percent Step 2. The second model gives $g(40) =\frac{40.9}{1+6.6e^{-0.049(40)}}\approx21.20$ percent Step 3. The bar graph gives a value of $21.3$ percent for year 2014; thus the second model $g(x)$ is better.
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