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 380: 16

Answer

(a) $63$ years (b) $100$ years

Work Step by Step

(a) Given $n_0=7.1, r=0.011$, use the exponential model we have $n(t)=7.1e^{0.011t}$ For the the population to double, $n(t)=2n_0$, so $2n_0=n_0e^{0.011t}$ and we get $t=ln2/0.011\approx63$ years (b) For the population to triple, $n(t)=3n_0$, so $3n_0=n_0e^{0.011t}$ and we get $t=ln3/0.011\approx100$ years
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