Calculus Concepts: An Informal Approach to the Mathematics of Change 5th Edition

Published by Brooks Cole
ISBN 10: 1-43904-957-2
ISBN 13: 978-1-43904-957-0

Chapter 2 - Describing Change: Rates - 2.1 Activities - Page 134: 6

Answer

a. The AirTran revenue decreased \$ 89.7 million between the second quarter of 2008 and the second quarter of 2009. b. The AirTran revenue decreased 12.9% between the second quarter of 2008 and the second quarter of 2009. c. The AirTran revenue decreased \$89.7 million per year between the second quarter of 2008 and the second quarter of 2009.

Work Step by Step

1. Calculate the change: $ new - old = 603.7 - 693.4 = -\$ 89.7$ million 2. Find the percent change: $\frac{change}{old}(100\%) = \frac {-89.7}{693.4}(100\%) = -12.9\%$ 3. Determine the average rate of change: - Between the second quarter of 2008 and the second quarter of 2009, there is one year. $\frac {change}{length \space of \space interval} = \frac {-89.7 \space million}{1 \space year} =$ -\$89.7 million per year.
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