Finite Math and Applied Calculus (6th Edition)

Published by Brooks Cole
ISBN 10: 1133607705
ISBN 13: 978-1-13360-770-0

Chapter 9 - Section 9.1 - Quadratic Functions and Models - Exercises - Page 630: 39b

Answer

${{\$}} 30$ million, which we estimate to be much higher than it should be.

Work Step by Step

Using the same graph we obtained in (a), graph the line $x=9$ and find the intersection. We obtain $F(9)={{\$}} 30$ million. Observing the t=4 to t=5 transition (last quarter of 2009 to first quarter of 2010), we see a substantial drop in sales, which is understandable because of the end-of-year shopping for presents etc. The last quarter of 2010 is represented by t=8, so we would expect a drop similar to the one last year when t=9. ${{\$}} 30$ million does not fit the pattern, and is, therefore, not a good approximation. (Perhaps a regression model other than quadratic would be suitable.)
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