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3. Suppose you take a car trip, traveling east along a very long highway, starting at time t = 0. Let x i be the number of gallons of gasoline used during the first i hours, and let s(t be the distance traveled in that time. Because you're using very cheap gasoline that's not good for the engine, your fuel efficiency (measured in miles/gallon) decreases as fuel is consumed. The graph of fuel efficiency as a function of gasoline used is shown in the graph below. 30 25 20 ds 15 dx 10 5 10 15 20 x (gallons) You record the total fuel used at various times during the trip and make the graph below, showing amount of fuel used as a function of time. 20 15 10 10 15 20 t (hours) Using only these two graphs, estimate your instantaneous velocity 15 hours after the start of the trip. Explain how you arrived at that value. Hint #1: You'd be wasting your time and missing the point if you tried to find formulas for these graphs. Use the graphs. You'll probably want to print them onto paper. Hint#2: Pay attention to the units.

3. Suppose you take a car trip, traveling east along a very long highway, starting at time t = 0. Let x i be the number of gallons of gasoline used during the first i hours, and let s(t be the distance traveled in that time. Because you're using very cheap gasoline that's not good for the engine, your fuel efficiency (measured in miles/gallon) decreases as fuel is consumed. The graph of fuel efficiency as a function of gasoline used is shown in the graph below. 30 25 20 ds 15 dx 10 5 10 15 20 x (gallons) You record the total fuel used at various times during the trip and make the graph below, showing amount of fuel used as a function of time. 20 15 10 10 15 20 t (hours) Using only these two graphs, estimate your instantaneous velocity 15 hours after the start of the trip. Explain how you arrived at that value. Hint #1: You'd be wasting your time and missing the point if you tried to find formulas for these graphs. Use the graphs. You'll probably want to print them onto paper. Hint#2: Pay attention to the units.

Calculus: Early Transcendentals
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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3. Suppose you take a car trip, traveling east along a very long highway, starting at time t = 0. Let x t be the number of gallons of gasoline used during the first t hours, and let s(t be the distance traveled in that time. Because you're using very cheap gasoline that's not good for the engine, your fuel efficiency (measured in miles/gallon) decreases as fuel is consumed. The graph of fuel efficiency as a function of gasoline used is shown in the graph below. 30 25 20 ds 15 dx 10 51 10 15 20 x (gallons) You record the total fuel used at various times during the trip and make the graph below, showing amount of fuel used as a function of time. 20 15 X 10 5 10 15 20 t (hours) Using only these two graphs, estimate your instantaneous velocity 15 hours after the start of the trip. Explain how you arrived at that value. Hint #1: You'd be wasting your time and missing the point if you tried to find formulas for these graphs. Use the graphs. You'll probably want to print them onto paper. Hint#2: Pay attention to the units.
Transcribed Image Text:3. Suppose you take a car trip, traveling east along a very long highway, starting at time t = 0. Let x t be the number of gallons of gasoline used during the first t hours, and let s(t be the distance traveled in that time. Because you're using very cheap gasoline that's not good for the engine, your fuel efficiency (measured in miles/gallon) decreases as fuel is consumed. The graph of fuel efficiency as a function of gasoline used is shown in the graph below. 30 25 20 ds 15 dx 10 51 10 15 20 x (gallons) You record the total fuel used at various times during the trip and make the graph below, showing amount of fuel used as a function of time. 20 15 X 10 5 10 15 20 t (hours) Using only these two graphs, estimate your instantaneous velocity 15 hours after the start of the trip. Explain how you arrived at that value. Hint #1: You'd be wasting your time and missing the point if you tried to find formulas for these graphs. Use the graphs. You'll probably want to print them onto paper. Hint#2: Pay attention to the units.
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