College Algebra 7th Edition

Published by Brooks Cole
ISBN 10: 1305115546
ISBN 13: 978-1-30511-554-5

Chapter 4, Exponential and Logarithmic Functions - Section 4.6 - Modeling with Exponential Functions - 4.6 Exercises - Page 415: 7

Answer

(a). $n(25)=232.87$ (b).$n(25)=181.36$

Work Step by Step

$n(t)=n_0\times e^{rt}$. Whereas,$n(t)$ is population at time $t$, $n_0$ is Initial size of the population, $r$ is relative rate of growth, and $t$ is time. (a).$n_0=110$, $r=0.03$, $t=25$. $n(t)=110\times e^{0.03 \times 25}=232.87$ (b).$n_0=110$, $r=0.02$, $t=25$. $n(t)=110\times e^{0.02 \times 25}=181.36$
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