College Algebra (10th Edition)

Published by Pearson
ISBN 10: 0321979478
ISBN 13: 978-0-32197-947-6

Chapter 4 - Section 4.1 - Properties of Linear Functions and Linear Models - 4.1 Assess Your Understanding - Page 283: 59

Answer

$7$

Work Step by Step

General formula for average rate of change from x to y: $\frac{f(y)-f(x)}{y-x}.$ Hence here: $\frac{f(3)-f(1)}{3-1}=\frac{(3\cdot3^2-5\cdot3)-(3\cdot1^2-5\cdot1)}{2}=\frac{(3\cdot9-15)-(3\cdot1-5)}{2}=\frac{(27-15)-(3-5)}{2}=\frac{14}{2}=7.$
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