Answer
$
\frac{f(3)-f(1)}{3-1}>\frac{f(5)-f(3)}{5-3}
$
Work Step by Step
Since $f$ is concave down, the average rate of change is decreasing as $x$ increases. Therefore,
$$
\frac{f(3)-f(1)}{3-1}>\frac{f(5)-f(3)}{5-3}
$$
Functions Modeling Change: A Preparation for Calculus, 5th Edition
by Connally, Eric; Hughes-Hallett, Deborah; Gleason, Andrew M.; Cheifetz, Phil C.
Published by
Wiley
ISBN 10:
1118583191
ISBN 13:
978-1-11858-319-7
Chapter 2 - Functions - 2.6 Concavity - Exercises and Problems for Section 2.6 - Exercises and Problems - Page 109: 28
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