# 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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