Precalculus (6th Edition) Blitzer

Published by Pearson
ISBN 10: 0-13446-914-3
ISBN 13: 978-0-13446-914-0

Chapter 2 - Section 2.7 - Polynomial and Rational Inequalities - Exercise Set - Page 414: 92

Answer

a. $f(x)=0.1125x^2 - 0.1x + 55.9$ b. $x\gt60\ mph$
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Work Step by Step

a. The quadratic regression for the dry pavement data is shown in the figure and we get the function as $f(x)=0.1125x^2 - 0.1x + 55.9$ b. Letting $f(x)\gt455$, we have $0.1125x^2 - 0.1x + 55.9\gt455$ or $0.1125x^2 - 0.1x -399.1\gt0$, which can be solved graphically as shown in the figure with solutions of $x\gt60\ mph$
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