College Algebra (6th Edition)

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

Chapter 4 - Exponential and Logarithmic Functions - Exercise Set 4.2 - Page 467: 115

Answer

a.$f(39)=25.5$, rounded to one decimal place, b.$f(46)=24.2$, rounded to one decimal places.

Work Step by Step

$x=2008-1969=39$, $f(x)=-7.52\ln{x}+53$, a. $f(39)=-7.52\ln{39}+53$, $f(39)=25.45$, $f(39)=25.5$, rounded to one decimal place, The result found by the function undersetimates the actual data of $26.2$ in the graph by $0.7$. b. $x=2015-1969=46$, $f(46)=-7.52\ln{46}+53$, $f(46)=24.21$, $f(46)=24.2$, rounded to one decimal places.
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