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: 48c

Answer

The point, where the function decreases most rapidly is at t=2.5. The airline had the most rapid increase in revenue in the midpoint 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, therefore we can say that it is not yet decreasing. At t=2.5 P(t) is decreasing. At t=3.5 P(t) stops decreasing, but is not yet increasing. The point, where the function decreases most rapidly is at t=2.5. The airline had the most rapid increase in revenue in the midpoint of 2007 (2.5 years after 2005).
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