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: 37a

Answer

$(A)$

Work Step by Step

The average rate of change of $f$ over the interval $[a, b]$ is given by: 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 $x$. --- Over $[2,6]$, the average rate of change for $f$ was $\displaystyle \approx\frac{1.18-1.72}{6-2}=\frac{-0.36}{4}=-0.9$ and for the regression line, $\displaystyle \frac{1.20-1.48}{6-2}=-0.7$ So, we choose (A), because $-0.9\lt-0.7$
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