ng a nine-hour snowstorm, it snows at a rate of 1 inch per hour for the first 2 hours, at a rate of 3 inches per hour for the next 6 hours, and at a rate of 0.5 inch per hour for the final hour

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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During a nine-hour snowstorm, it snows at a rate of 1 inch per hour for the first 2 hours, at a rate of 3 inches per hour for the next 6 hours, and at a rate of 0.5 inch per hour for the final hour.

Next, find the equation of the line that describes the snowfall in the final hour. What is the slope of the line during this time interval?
m = 5
Well done!
We can determine a point on the line by using the equation from the end of the second time interval. How much snow is on the ground when t = 8?
f(8)
Or,
=
8
Excellent!,
= .5
*) is a point on the line. Using the slope and the point, fill in the blanks below.
Excellent job! t -
t job!(t.
8
Solve for y and simplify. Also determine the interval over which the equation applies.
y = f(t) = .5
X, 8 < t ≤ 9
+
Perfect!
Transcribed Image Text:Next, find the equation of the line that describes the snowfall in the final hour. What is the slope of the line during this time interval? m = 5 Well done! We can determine a point on the line by using the equation from the end of the second time interval. How much snow is on the ground when t = 8? f(8) Or, = 8 Excellent!, = .5 *) is a point on the line. Using the slope and the point, fill in the blanks below. Excellent job! t - t job!(t. 8 Solve for y and simplify. Also determine the interval over which the equation applies. y = f(t) = .5 X, 8 < t ≤ 9 + Perfect!
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