Introductory Algebra for College Students (7th Edition)

Published by Pearson
ISBN 10: 0-13417-805-X
ISBN 13: 978-0-13417-805-9

Chapter 1 - Section 1.1 - Introduction to Algebra: Variables and Mathematical Models - Exercise Set - Page 12: 86

Answer

For 66-year-olds, the model overestimates the percentage by $0.2$ percent.

Work Step by Step

Substituting a with $66$ in the given formula, we find $p=52-0.3\cdot a$ $p=52-0.3\cdot 66$ $=52-19.8$ $=52.0-19.8$ $=32.2 $ (percent) The graph gives $32=32.0$, so the model overestimates the value in the graph by $0.2 $ (percent). $(32.2-32.0=0.2)$
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