Precalculus (6th Edition) Blitzer

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

Chapter 2 - Section 2.2 - Quadratic Functions - Exercise Set - Page 333: 89

Answer

a. See graph; the values increase, then decrease. b. $y = -0.48x^2 + 6.17x + 9.57$ c. Season $6$: $29.3$ millions d. underestimates by $1.1$ million. e. See graph and explanations.
1585580102

Work Step by Step

a. We can graph the scatter plot of the data as shown in the figure where the smooth curve is a fitted quadratic function. We can see that the data increases initially and then decreases later, so a quadratic function will model the data well. b. We can find the quadratic function as $y = -0.48x^2 + 6.17x + 9.57$ c. We have $a=-0.48, b=6.17$ and a maximum can be found at $x=-\frac{b}{2a}=-\frac{6.17}{2(-0.48)}\approx6$ and the number of viewers is $y = -0.48(6)^2 + 6.17(6) + 9.57\approx29.3$ millions d. Examine the data. We notice that the maximum is $30.4$ million viewers in season $5$. Thus the model in part (c) underestimates the real value by $30.4-29.3=1.1$ million. e. See graph. We can see that without a shake-up, the number of viewers will drop as time increases.
Update this answer!

You can help us out by revising, improving and updating this answer.

Update this answer

After you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.