Precalculus (6th Edition) Blitzer

Published by Pearson
ISBN 10: 0-13446-914-3
ISBN 13: 978-0-13446-914-0

Chapter 3 - Section 3.5 - Exponential Growth and Decay; Modeling Data - Exercise Set - Page 508: 73

Answer

$y=195.05x^{0.1}$, $r=0.896$, good fit.

Work Step by Step

Plot the data and use $y=ax^b$ to fit; we can get $a=195.05, b=0.1, r=0.896$, that is $y=195.05x^{0.1}$ as shown in the figure. As $r$ is close to $1$, it indicates a reasonably good fit using this model.
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