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: 37b

Answer

$(C)$

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 $[3,10]$, the average rate of change for $f$ was $\displaystyle \approx\frac{1.00-1.42}{10-3}=\frac{-0.42}{7}=-0.06$ and for the regression line, about $\displaystyle \frac{0.98-1.40}{10-3}=\frac{-0.42}{7}$ Thus, we choose ($C$)
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