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: 95a

Answer

$n=1.127(3.544)^{t}$ million members, where t = years after the start of $2005$.

Work Step by Step

Using desmos.com, we enter the table with variables $t$ and $n$. We enter in a free cell $n\sim Ab^{t}$ place tick in "log mode" to obtain an exponential regression formula tying P to t, and the calculator returns (see image): $A=1.127, b=3.544$ with the correlation coefficient $r$ being relatively close to $1$, indicating a good fit. The model is $n=1.127(3.544)^{t}$ million members, where t = years after the start of $2005$.
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