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.
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.
Answer only option a. Please try not to use derivatives or integrals to calculate the stuff. Thank you.
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).
With differentiation, one of the major concepts of calculus. Integration involves the calculation of an integral, which is useful to find many quantities such as areas, volumes, and displacement.
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