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: 85

Answer

The model overestimates the percentage by $0.8$ percent.

Work Step by Step

Substituting a with 24 in the given formula, we find $p=52-0,3\cdot a$ $p=52-0,3\cdot 24$ $=52-7.2$ $=52.0-7.2$ $=44.8 $ (percent) The graph gives $44=44.0$, so the model overestimates the value in the graph by $0.8 $ (percent). $(44.8-44.0=0.8)$ The model overestimates the percentage by $0.8$ percent.
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