Calculus with Applications (10th Edition)

Published by Pearson
ISBN 10: 0321749006
ISBN 13: 978-0-32174-900-0

Chapter 1 - Linear Functions - Chapter Review - Review Exercises: 57

Answer

$y=7.2t+11.9$

Work Step by Step

Graphing the approximately linear function, the points on the graph are (t, y(t)). Let y be in billions of dollars, t is the number of years after 2000. Given points: (1, 19.1) and (8, 69.7). Slope: $ m=\displaystyle \frac{69.7-19.1}{8-1}=\frac{50.6}{7}\approx$7.22857142857$\approx 7.2$ Point-slope equation: $y-19.1=7.2(t-1)$ $y-19.1=7.2t-7.2\qquad/+19.1$ $y=7.2t+11.9$
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