Calculus 8th Edition

Published by Cengage
ISBN 10: 1285740629
ISBN 13: 978-1-28574-062-1

Chapter 1 - Functions and Limits - 1.2 Mathematical Models: A Catalog of Essential Functions - 1.2 Exercises - Page 36: 31


(a) $N = 3.1046A^{0.308}$ (b) $18$

Work Step by Step

(a) Using technology, a power regression equation is found to have $a \approx 3.1046$ and $b \approx 0.308$, where the equation is in the form: $N = aA^{b} = 3.1046A^{0.308}$ (b) Inputting 291 miles into the equation in (a): $N = 3.1046 \times (291)^{0.308} \approx 18$
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