Intermediate Algebra (6th Edition)

Published by Pearson
ISBN 10: 0321785045
ISBN 13: 978-0-32178-504-6

Chapter 9 - Review: 43

Answer

$\approx187,118$ people

Work Step by Step

Exponential growth can be modeled by the function $y=C(1+r)^{x}$ (where C is the initial amount present, r is the growth rate, and x is the number of time intervals measured). In this case, 2020 is $(2020-2000)=20$ years after 2000, so $x=20$. We are also given that the growth rate is 4.4% per year and the population in 2000 was 79,087. Therefore, the population can be estimated by plugging these values into the given function. $y=79087(1+.044)^{20}=79087(2.366)\approx187,118$ people
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