During a snowstorm, a meteorologist tracks the amount of accumulating snow. For the first three hours of the storm, the snow fell at a constant rate of one inch per hour. The storm then stopped for two hours and then started again at a constant rate of one-half inch per hour for the next four hours. Create a graph of the situation. Write a piecewise function that models the depth of the snow as a function of time. When will the depth of the snow be 4 inches? How much snow will there be on the ground after 4 hours?

Trigonometry (MindTap Course List)
10th Edition
ISBN:9781337278461
Author:Ron Larson
Publisher:Ron Larson
ChapterP: Prerequisites
SectionP.7: A Library Of Parent Functions
Problem 47E
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During a snowstorm, a meteorologist tracks the amount of accumulating snow. For the first three hours of the storm, the snow fell at a constant rate of one inch per hour. The storm then stopped for two hours and then started again at a constant rate of one-half inch per hour for the next four hours. Create a graph of the situation. Write a piecewise function that models the depth of the snow as a function of time. When will the depth of the snow be 4 inches? How much snow will there be on the ground after 4 hours?
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