Finite Math and Applied Calculus (6th Edition)

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

Chapter 9 - Section 9.3 - Logarithmic Functions and Models - Exercises - Page 659: 63

Answer

Model:$\quad S=55.49\ln t+39.67$ It is more reasonable to extrapolate to the right (positive direction). .

Work Step by Step

Using desmos.com online calculator, we add a table with $t$ and $S$ as variable names, and enter the given values. In the next free cell, enter $S\sim A\ln(t)+C$ and check the "Log mode" box. The calculator returns $A\approx 55.49$ $C=39.67$ (see graph attached to the solution). Model:$\quad S=55.49\ln t+39.67$ Extrapolating to the left (the negative direction), eventually leads to negative values, which is unreasonable. It is more reasonable to extrapolate to the right (positive direction).
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