College Algebra (10th Edition)

Published by Pearson
ISBN 10: 0321979478
ISBN 13: 978-0-32197-947-6

Chapter 5 - Section 5.3 - The Graph of a Rational Function - 5.3 Assess Your Understanding - Page 366: 56

Answer

(a) The horizontal asymptote is y=0. As time increases the concentration will practically disappear. (b) See below. (c) 5 minutes.

Work Step by Step

(a) If the degree of the denominator is greater than the degree of the numerator, as is the case here, the horizontal asymptote is y=0. As it happens with most things we intake, there will be a spike that prompts the body to stabilize to conditions before the intake. (b) Used a graphic calculator. (c) The calculator approximated $t$ as exactly 5 minutes.
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