Precalculus: Mathematics for Calculus, 7th Edition

Published by Brooks Cole
ISBN 10: 1305071751
ISBN 13: 978-1-30507-175-9

Chapter 4 - Section 4.6 - Modeling with Exponential Functions - 4.6 Exercises - Page 379: 8

Answer

(a) $392$ (b) $73$

Work Step by Step

(a) Use the exponential model, $n(t)=n_0e^{rt}$ with $n_0=22, t=24,r=0.12$ for this case. Thus, $n(24)=22e^{0.12\times24}=391.9\approx392$ (b) For this case, use $r=0.05$, we have $n'(24)=22e^{0.05\times24}=73$
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