Finite Math and Applied Calculus (6th Edition)

Published by Brooks Cole
ISBN 10: 1133607705
ISBN 13: 978-1-13360-770-0

Chapter 1 - Section 1.1 - Functions from the Numerical, Algebraic, and Graphical Viewpoints - Exercises - Page 54: 47c

Answer

The only point, out of the given five points, where the function decreases is at $t=2.5$. The airline's most rapid decrease of revenue was around the summer of 2007.

Work Step by Step

At $t=0$ $P(t)$ is increasing. At $t=0.5$ $P(t)$ is also increasing. At $t=1$ $P(t)$ is changing from increasing to decreasing, but it doesn't have a steep decrease after that. At $t=2.5$ $P(t)$ is decreasing. At $t=3.5$ $P(t)$ stops decreasing, but is not yet increasing. As the only point, where the function decreases is at $t=2.5$, it is the answer. 2.5 years after 2005 means, that it is around the end of summer of 2007.
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