Algebra: A Combined Approach (4th Edition)

Published by Pearson
ISBN 10: 0321726391
ISBN 13: 978-0-32172-639-1

Chapter 9 - Section 9.2 - Solving Systems of Equations Using Matrices - Exercise Set - Page 649: 31

Answer

a) 2003 b) No. There might have been a drastic change in the amount of wind power between 1989 and 2000. c) No. The slope of the line is $.11$, and with a positive y-intercept, the line will not go below the x-axis. d) More money could be spent on increasing the energy produced by wind power than on geothermal power.

Work Step by Step

geothermal (from 2000-2009, where $x$ is years after 2000): $y-.11x=14.05$ wind power (from 2000-2009, where $x$ is years after 2000): $5.13x-y=.65$ a) Please see the screenshot with the matrix work to solve the matrix. Since the value for $x$ is a decimal, the value was rounded to the nearest whole number. b) $5.13x-y=.65$ $5.13(-11)-2.1=.65$ $-56.43-2.1=.65$ $-58.53\ne.65$ c) $y-.11x=14.05$ $y=.11x+14.05$
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