College Algebra (11th Edition)

Published by Pearson
ISBN 10: 0321671791
ISBN 13: 978-0-32167-179-0

Chapter 2 - Section 2.4 - Linear Functions - 2.4 Exercises - Page 213: 66

Answer

Rate of change=50 The amount saved is increasing at a rate of $50 per month.

Work Step by Step

To calculate the rate of change between two points $(a,f(a))$ and $(b,f(b))$, where $b \gt a$, we use the formula: rate of change$=\frac{f(b)-f(a)}{b-a}$ We use the two points $(0,0)$ and $(4,200)$: rate of change$=\frac{200-0}{4-0}=200/4=50$ Thus the amount saved must be increasing at a rate of $50 per month.
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