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: 71

Answer

$y=191.9+24.569\ ln(x)$, $r=0.870$, see explanations.

Work Step by Step

Plot the data and use $y=a+b\ ln(x)$ to fit; we can get $a=191.9, b=24.569, r=0.870$, that is $y=191.9+24.569\ ln(x)$ as shown in the figure. As $r$ is between $0.5$ and $1$, it indicates a reasonably good fit (but not a great fit) using the model.
Update this answer!

You can help us out by revising, improving and updating this answer.

Update this answer

After you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.