Precalculus (6th Edition) Blitzer

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

Chapter P - Section P.4 - Polynomials - Exercise Set - Page 56: 91


a. $S=0.3x^3-2.8x^2+6.7x+30$ b. $S=31$; same as in the chart.

Work Step by Step

a. Simplify the function by combining like terms as follows: $S=0.2x^3+0.1x^3-1.5x^2-1.3x^2+3.4x+3.3x+25+5=0.3x^3-2.8x^2+6.7x+30$ b. For the age group of $45-54$, we have $x=5$ (group 5) and $S=0.3(5)^3-2.8(5)^2+6.7(5)+30=31$, which is exactly the same as the data shown in the chart.
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