Intermediate Algebra (6th Edition)

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

Chapter 9 - Review: 46

Answer

$\approx636$ bears

Work Step by Step

Exponential decay can be modeled by the function $y=C(1-r)^{x}$ (where C is the initial amount present, r is the decay rate, and x is the number of time intervals measured). In this case, we are wanting to measure the amount of bears left after 6 years, so $x=6$. We are given that the decay rate is .11 and there are 1280 bears originally present. $y=1280(1-.11)^{6}=1280(.497)\approx636$ bears
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