Algebra 2 (1st Edition)

Published by McDougal Littell
ISBN 10: 0618595414
ISBN 13: 978-0-61859-541-9

Chapter 2 Linear Equations and Functions - 2.2 Find Slope and Rate of Change - 2.2 Exercises - Problem Solving - Page 87: 44

Answer

The single-section ramp would be 0.1875 feet, and the three-section ramp would be 0.0625 feet The benefits are that it would be easier to climb up a three-section ramp instead of a single section ramp.

Work Step by Step

From the image, we can see the height of the ramps is 5.25 feet, from the floor to the bridge. This will the "rise" of the problem. We can also see in the image that the length of the ramp is 28 feet, which will be the "run" of the problem. Since the formula for slope is rise/run, we can plug in the two values that we had gotten from the diagram. Slope = 5.25ft/28ft Slope = 0.1875 feet This is the slope to the single-section ramp To find the slope of the three-section ramp, we can just use divide the single-section ramp by three, since it is 3 sections Slope= 0.1875ft/3sections Slope= 0.0625 ft Therefore, we can see the slope of the three-section ramp is less than the single-section ramp. Since the single-section ramp is steeper, it would be easier to walk up the three-section ramp.
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