Finite Math and Applied Calculus (6th Edition)

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

Chapter 1 - Section 1.2 - Functions and Models - Exercises - Page 75: 50b

Answer

Model $C$ is unreasonable for the year 2020, giving a price of about ${{\$}} 9.94$ per gigabyte.

Work Step by Step

In 2020, $t=20$, and we find $A(20)\approx 0.000014$ $B(20)\approx 0.1002$ $C(20)\approx 9.9438$ If we zoom out (set the view window to $[0,30] $ by $[0,10]$), we see that after $t=11$, graph C begins to rise steeply, which is against our expectations for the price per gigabyte to decrease over time.
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