Calculus 8th Edition

Published by Cengage
ISBN 10: 1285740629
ISBN 13: 978-1-28574-062-1

Chapter 1 - Functions and Limits - 1.1 Four Ways to Represent a Function - 1.1 Exercises - Page 21: 24

Answer

(a) See graph (b) BAC increases rapidly in $45$ minutes and then the measure slowly decreases

Work Step by Step

The given table indicates the number of hours and the blood alcohol concentration (BAC). (a) To sketch the graph first take the $t$-values in the $x$-axis and BAC-values in the $y$-axis. Then plot the points given in the table and join them by a curve. (b) Observe the graph, the measure of the BAC increases rapidly in $45$ minutes and then the measure slowly decreases. This indicates that the effect of alcohol is high at $45$ minutes after rapid consumption and then the alcohol slowly is metabolized over several hours.
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