Calculus Concepts: An Informal Approach to the Mathematics of Change 5th Edition

Published by Brooks Cole
ISBN 10: 1-43904-957-2
ISBN 13: 978-1-43904-957-0

Chapter 2 - Describing Change: Rates - 2.1 Activities - Page 134: 7

Answer

a. 3 percentage points; The percentage of students meeting national mathematics benchmarks increased by 3 percentage points between 2004 and 2008. b. 7.5% The percentage points per year; The percentage of students meeting national mathematics benchmarks increased by 7.5% between 2004 and 2008. c. 0.75 percentage points per year; The percentage of students meeting national mathematics benchmarks increased by 0.75 percentage points per year between 2004 and 2008.

Work Step by Step

a. change is found by subtracting the first value by the second $(new - old)$ $43-40=3$ b. percentage change is found by using $\frac{change}{old}*100$ $\frac{43-40}{40}*100 =7.5$% c. average rate of change is found by using $\frac{change}{time}$ $\frac{43-40}{4}=0.75$
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