Algebra and Trigonometry 10th Edition

Published by Cengage Learning
ISBN 10: 9781337271172
ISBN 13: 978-1-33727-117-2

Chapter 2 - 2.3 - Analyzing Graphs of Functions - 2.3 Exercises - Page 195: 65b


$-\$6.14$ billion per year

Work Step by Step

We are given the function: $f(t)=0.5079t^2-8.168t+95.08$ Determine the average rate of change of the model from 2010 to 2014 ($t=0$ corresponds to 2010, while $t=4$ corresponds to 2014): $\dfrac{f(4)-f(0)}{4-0}=\dfrac{[0.5079(4^2)^2-8.168(4)+95.08]-[0.5079(0^2)^2-8.168(0)+95.08]}{4}$ $=\dfrac{70.5344-95.08}{4}$ $=\dfrac{-24.5456}{4}$ $=-6.1364$ Therefore, the department spending decreased by approximately $\$6.14$ billion each year from 2010 to 2014.
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