Functions Modeling Change: A Preparation for Calculus, 5th Edition

Published by Wiley
ISBN 10: 1118583191
ISBN 13: 978-1-11858-319-7

Chapter 4 - Exponential Functions - 4.2 Comparing Exponential and Linear Functions - Exercises and Problems for Section 4.2 - Exercises and Problems - Page 157: 49

Answer

A) Neither a linear nor an exponential function would be suitable. B) We can not model the population as linear or exponential.

Work Step by Step

A) If we assume that the population is linear, the population in 2013 would be $$ 18,500+250 \cdot 10=21,000 $$ On the other hand, if we assume an exponential model, the percent rate would be $250 / 18,500 \approx 0.013514=1.351 \%$. The population in 2013 would be $$ 18,500(1.013514)^{10} \approx 21,158 $$ Clearly, neither a linear nor an exponential function would be suitable. B) We can not model the population as linear or exponential.
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