Answer
97 cars /min
Work Step by Step
Using the definition of $f_{\text {ave}}$:
$f_{a v e}=\frac{1}{-a+b} \int_{a}^{b} f(x) d x$
$R_{a v e}=\frac{1}{30} \int_{0}^{30}\left(-0.01 t^{2}+100\right) d t=\frac{2910}{30}=97$
Calculus, 10th Edition (Anton)
by Anton, Howard
Published by
Wiley
ISBN 10:
0-47064-772-8
ISBN 13:
978-0-47064-772-1
Chapter 4 - Integration - 4.8 Average Value Of A Function And It's Applications - Exercises Set 4.8 - Page 336: 23
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