Intermediate Algebra for College Students (7th Edition)

Published by Pearson
ISBN 10: 0-13417-894-7
ISBN 13: 978-0-13417-894-3

Chapter 1 - Review Exercises - Page 98: 15

Answer

The model overestimated the percentage shown for 2009 by $\:0.4\%$.

Work Step by Step

Since the model represents the percentage of U.S. adults who got a flu shot $x$ years after $2005$, the value of $x$ would then be: $$x = 2009-2005$$$$x=4$$ Substituting this to the given model: $$F = 28 + 6x - 0.6x^{2}$$ $$28 + 6(4) – 9.6 = \:42.4\%$$ Since the value reflected on the graph is only $\:42\%$. Therefore, the model overestimated the percentage shown for 2009 by $\:0.4\%$.
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