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: 68

Answer

Rate of change$=0$. The number of named hurricanes is staying constant from year to year (at 10).

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 $(0,10)$ and $(3,10)$: rate of change$=\frac{10-10}{3-0}=0$ Thus the number of named hurricanes is changing at a rate of 0 per year. In other words, the number of named hurricanes is staying constant from year to year (at 10).
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