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

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

Chapter 4 - 4.1 Introduction to the Family of Exponential Functions - Exercises and Problems for Section 4.1 - Exercises and Problems - Page 147: 46

Answer

A) The increase between 2009 and 2010 is 9.79 billion dollars and the increase between 2010 and 2011 is 13.71 billion dollars. B) This means the the revenue function is increasing and the Amazon is making profits.

Work Step by Step

Given $$R(t) = 24.48(1.4)^t $$ \begin{equation} \begin{aligned} R(2010,t= 1)&= 24.48(1.4)^1\\ &= 34.27\\ \textbf{Increase} &= 34.27-24.48= 9.79\\ R(2011,t= 2)&= 24.48(1.4)^2\\ &= 47.98\\ \textbf{Increase} &=47.98- 34.27= 13.71 \end{aligned} \end{equation} A) The increase between 2009 and 2010 is 9.79 billion dollars and the increase between 2010 and 2011 is 13.71 billion dollars. B) This means the the revenue function is increasing and the Amazon is making profits.
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