Precalculus (6th Edition) Blitzer

Published by Pearson
ISBN 10: 0-13446-914-3
ISBN 13: 978-0-13446-914-0

Chapter 3 - Section 3.5 - Exponential Growth and Decay; Modeling Data - Exercise Set - Page 506: 36

Answer

$ a.\quad 1.2\%$ increase in population per year. $ b.\quad\approx 58$ years

Work Step by Step

$ a.$ Model: $ A=A_{0}e^{kt}.$ Here, $ k=0.012$, which represents a $1.2\%$ increase in population per year. $ b.$ Use the formula for time needed to double the population: $ t=\displaystyle \frac{\ln 2}{k}=\frac{\ln 2}{0.012}\approx 58$ years
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