Calculus: Early Transcendentals 8th Edition

Published by Cengage Learning
ISBN 10: 1285741552
ISBN 13: 978-1-28574-155-0

Chapter 1 - Section 1.2 - Mathematical Models: A Catalog of Essential Functions. - 1.2 Exercises - Page 35: 24


(a) Using the data provided, we can plot each point on the graph (see the image below) (b) $y=4.86x-221$ (c) Chirping rate at $100°F$ equals to $265 chirps/min$

Work Step by Step

(a) We simply input all the data provided (see the image: blue dots) (b) Using the Regression Line Calculator, we can graph the line with the data provided. We then get: $m=4.85667\approx4.86$ $b=-220.96667 \approx -221$ So, we will get the linear equation: $y=4.86x-221$ (see red line in graph) (c) To calculate the chirping rate at 100°F, we can simply input it in the equation formed in (b): $y=4.86\times100-221=265$
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