Intermediate Algebra (6th Edition)

Published by Pearson
ISBN 10: 0321785045
ISBN 13: 978-0-32178-504-6

Chapter 5 - Section 5.3 - Polynomials and Polynomial Functions - Exercise Set - Page 280: 84b

Answer

911 feet

Work Step by Step

We are given that the height of the football above the Colorado River at any time t can be described by the polynomial function $P(t)=-16t^{2}+10t+910$. In order to find the height at $t=\frac{1}{2}$ second, we can calculate the value of $P(\frac{1}{2})$. $P(\frac{1}{2})=-16(\frac{1}{2})^{2}+10(\frac{1}{2})+910=-16(\frac{1}{4})+5+910=-4+5+910=911$ feet
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