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: 115

Answer

a. $21\ hrs$; overestimates 1 hour. b. $20\ hrs$.

Work Step by Step

a. Using the given function $f(x) = -3.52 ln (x) + 34.5$, with $x=2010-1964=46$, we have $f(46) = -3.52 ln (46) + 34.5\approx21\ hrs$. The bar graph gives a value of $20$ hours; thus the function value overestimates the number by 1 hour. b. For year $2025$, we have $x=2025-1964=61$ and $f(61) = -3.52 ln (61) + 34.5\approx20\ hrs$.
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