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Activity 1.5.4. Researchers at a major car company have found a function that relates gasoline consumption to speed for a particular model of car. In particular, they have determined that the consumption C, in liters per kilometer, at a given speed s, is given by a function C = f(s), where s is the car's speed in kilometers per hour. a. Data provided by the car company tells us that f(80) = 0.015, f(90) = 0.02, and f(100) = 0.027. Use this information to estimate the instantaneous rate of change of fuel consumption with respect to speed at s = 90. Be as accurate as possible, use proper notation, and include units on your answer.

Activity 1.5.4. Researchers at a major car company have found a function that relates gasoline consumption to speed for a particular model of car. In particular, they have determined that the consumption C, in liters per kilometer, at a given speed s, is given by a function C = f(s), where s is the car's speed in kilometers per hour. a. Data provided by the car company tells us that f(80) = 0.015, f(90) = 0.02, and f(100) = 0.027. Use this information to estimate the instantaneous rate of change of fuel consumption with respect to speed at s = 90. Be as accurate as possible, use proper notation, and include units on your answer.

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
6th Edition
ISBN:9781337111348
Author:Bruce Crauder, Benny Evans, Alan Noell
Publisher:Bruce Crauder, Benny Evans, Alan Noell
Chapter1: Functions
Section1.4: Functions Given By Words
Problem 6E
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Answer only option a. Please try not to use derivatives or integrals to calculate the stuff. Thank you.
Activity 1.5.4. Researchers at a major car company have found a function that relates gasoline consumption to speed for a particular model of car. In particular, they have determined that the consumption C, in liters per kilometer, at a given speed s, is given by a function C = f(s), where s is the car's speed in kilometers per hour. a. Data provided by the car company tells us that f(80) = 0.015, f(90) = 0.02, and f(100) = 0.027. Use this information to estimate the instantaneous rate of change of fuel consumption with respect to speed at s = 90. Be as accurate as possible, use proper notation, and include units on your answer. b. By writing a complete sentence, interpret the meaning (in the context of fuel consumption) of "f(80) = 0.015." c. Write at least one complete sentence that interprets the meaning of the value of f'(90) that you estimated in (a).
Transcribed Image Text:Activity 1.5.4. Researchers at a major car company have found a function that relates gasoline consumption to speed for a particular model of car. In particular, they have determined that the consumption C, in liters per kilometer, at a given speed s, is given by a function C = f(s), where s is the car's speed in kilometers per hour. a. Data provided by the car company tells us that f(80) = 0.015, f(90) = 0.02, and f(100) = 0.027. Use this information to estimate the instantaneous rate of change of fuel consumption with respect to speed at s = 90. Be as accurate as possible, use proper notation, and include units on your answer. b. By writing a complete sentence, interpret the meaning (in the context of fuel consumption) of "f(80) = 0.015." c. Write at least one complete sentence that interprets the meaning of the value of f'(90) that you estimated in (a).
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