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: 48b

Answer

The same for a linear function regardless of the interval chosen.

Work Step by Step

The units of the average rate of change of $f$ are units of $f(x)$ per (additional) unit of $x$. The average rate of change in deaths of manatees per additional boat is the same for a linear function regardless of the interval chosen. This is because a line has constant slope $m$ which equals the average rate of change between any two points.
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