Intermediate Algebra for College Students (7th Edition)

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

Chapter 2 - Section 2.2 - Graphs of Functions - Exercise Set - Page 124: 47

Answer

$x=45,\ y=190$ The minimum number of accidents per 50 million miles driven., according to the model, is 190, associated with 45-year-old drivers.

Work Step by Step

$f(x)=0.4x^{2}-36x+1000$ has a vertex at $x=45$, the point of lowest function value. $y=f(45)=0.4(45^{2})-36(45)+1000=190$ The minimum number of accidents per 50 million miles driven., according to the model, is 190, associated with 45-year-old drivers.
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