Precalculus: Mathematics for Calculus, 7th Edition

Published by Brooks Cole
ISBN 10: 1305071751
ISBN 13: 978-1-30507-175-9

Chapter 2 - Section 2.4 - Average Rate of Change of a Function - 2.4 Exercises - Page 189: 31

Answer

a) $245$ b) $-328.5$ c) Increasing from the 1997 to 2002. d) Decreasing from the 2002 to 2006.

Work Step by Step

a) Apply the rule such as The average rate is given as: $\dfrac{f(b)-f(a)}{b-a}$ where $a \leq b$ $\dfrac{f(2001)-f(1998)}{2001-1998}=\dfrac{1591-856}{2001-1998}=245$ b) Apply the rule such as The average rate is given as: $\dfrac{f(b)-f(a)}{b-a}$ where $a \leq b$ $\dfrac{f(2004)-f(2002)}{2004-2001}=\dfrac{826-1483}{2004-2001}=-328.5$ c) The number of population in the year $2002$ is greater than in the year $1997$. Thus, the population increasing from the 1997 to 2002. d) The number of population in the year $2002$ is lesser than in the year $2006$. Thus, the population decreasing from the 2002 to 2006.
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