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 734: 38b

Answer

($A$)

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 $x$. --- $b.$ Over $[2,7]$, the average rate of change for $f$ was $\displaystyle \approx\frac{6.10-6.34}{7-4}=\frac{-0.24}{3}=-0.08$ and for the regression line: $\displaystyle \frac{6.38-6.42}{7-4}=\frac{-0.04}{3}=-0.013$ so the answer is: ($A$)
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