The rate of change of the average annual fuel consumption of passenger vehicles, buses, and...
Question:
The rate of change of the average annual fuel consumption of passenger vehicles, buses, and trucks from 1970 through 2000 can be modeled as
f(t) = 0.8t - 15.9 gallons per vehicle per year
where t is the number of years since 1970. The average annual fuel consumption was 712 gallons per vehicle in 1980.
a) Write the specific antiderivative giving the average annual fuel consumption.
b) How is this specific antiderivative related to an accumulation function of f?
Antiderivative:
The opposite of a derivative is the aptly named antiderivative. Just like how finding the derivative tells us information about the function's rate of change, finding a derivative's antiderivative tells us about the total change of a function. However, since the derivative of a constant is zero, returning back to our original function requires that we also have a point on the function. Otherwise, there are an infinite amount of antiderivatives to choose from.
Answer and Explanation: 1
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View this answera) The function representing the rate of change of the average annual fuel consumption given to us in this problem is linear. In order to find the...
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Antiderivative | Rules, Formula & Examples
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Chapter 8 / Lesson 12
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Understand what an antiderivative is and what antiderivative rules are. Use various antiderivative formulas and learn how to do antiderivatives. See the antiderivative chart for common functions and practice solving basic antiderivatives examples.
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