Finite Math and Applied Calculus (6th Edition)

Published by Brooks Cole
ISBN 10: 1133607705
ISBN 13: 978-1-13360-770-0

Chapter 10 - Section 10.4 - Average Rate of Change - Exercises - Page 735: 49a

Answer

$\left[\begin{array}{cccccc} Int. & [0,40] & [40,80] & [80,120] & [120,160] & [160,200]\\ Avg.rate & & & & & \\ of.change & 1.35 & 0.80 & 0.48 & 0.28 & 0.17 \end{array}\right]$

Work Step by Step

The average rate of change of $f$ over the interval $[a, b]$ is Average rate of change of $f\displaystyle \ \ =\frac{f(b)-f(a)}{b-a}$ The units of the average rate of change of $f$ are units of $f(x)$ per unit of $x$. --- We calculate the average rate of change in the table below:
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