Precalculus (6th Edition) Blitzer

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

Chapter 3 - Section 3.2 - Exponential Functions - Exercise Set - Page 465: 116

Answer

a. $10\ hrs$, underestimates by 1 hour. b. $11\ hrs$.

Work Step by Step

a. Using the given function $f(x) = 1.8 ln (x) + 3.42$, with $x=2010-1964=46$, we have $f(46) = 1.8 ln (46) + 3.42\approx10\ hrs$. The bar graph gives a value of $11$ hours; thus the function value underestimates the number by 1 hour. b. For year $2025$, we have $x=2025-1964=61$ and $f(61) = 1.8 ln (61) + 3.42\approx11\ hrs$.
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