Precalculus: Mathematics for Calculus, 7th Edition

Published by Brooks Cole
ISBN 10: 1305071751
ISBN 13: 978-1-30507-175-9

Chapter 2 - Section 2.5 - Linear Functions and Models - 2.5 Exercises - Page 196: 39

Answer

a. To sketch a graph of T - plug in numbers (0,1,2,3...) for x and plot the x and T(x) values on a coordinate grid. b. The slope of the graph is 150. c. The trash in the landfill is increasing by 150,000 tons each year.

Work Step by Step

a. See above. b. Since the equation is T(x) = 150x + 32,000 and 150 corresponds to a = slope, the slope of the graph is 150. c. Slope = rate of change = how much something increases/decreases per year. The slope represents the change in the y-value (in this case, in the number of thousands of tons) for a single change of the x value. So, the trash in the landfill increases by 150,000 tons each year.
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