Finite Math and Applied Calculus (6th Edition)

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

Chapter 9 - Section 9.2 - Exponential Functions and Models - Exercises - Page 646: 96a

Answer

$F=98.384(1.193)^{t}$ tons where t = years after $2000$

Work Step by Step

Using desmos.com, we enter the table with the variables $t$ and $F$. We enter in a free cell $F\sim Ab^{t}$ place tick in "log mode" to obtain an exponential regression formula tying P to t, and the calculator returns (see image). $A=98.384, b=1.193$ with the correlation coefficient $r$ being very close to $1$, indicating a good fit. The model is $F=98.384(1.193)^{t}$ tons where t = years after $2000$.
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