Thomas' Calculus 13th Edition

Published by Pearson
ISBN 10: 0-32187-896-5
ISBN 13: 978-0-32187-896-0

Chapter 1: Functions - Section 1.4 - Graphing with Software - Exercises 1.4 - Page 35: 40

Answer

(a) See graph. (b) $y_1 = 1.0333x - 2052.6$, $y _2= 1.9167x - 3826.2$ (c) $31.57$ dollars, $39.78$ dollars.

Work Step by Step

(a) We can make a scatterplot of the data set as shown in the figure. (b) Using the given data set, we can find the regression lines for each as $y_1 = 1.0333x - 2052.6$ for the residential and $y _2= 1.9167x - 3826.2$ for the transportation. (c) In year 2017, use the above equations $y_1 = 1.0333\times2017 - 2052.6\approx31.57$ dollars for the residential and $y _2= 1.9167\times2017 - 3826.2\approx39.78$ dollars for the transportation.
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