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AP Calculus BC/Unit 8: Applications of Integration
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Average Value of a Rate Function

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The rate of change of the atmospheric carbon dioxide concentration, in parts per million per year, is modeled by the function c(t)c(t), where tt is the number of years since 2000. What is the meaning of the expression 120−10∫1020c(t) dt\frac{1}{20-10}\int_{10}^{20} c(t)\, dt?

A

The net change in carbon dioxide concentration, in parts per million, between 2010 and 2020

B

The average rate of change of carbon dioxide concentration, in parts per million per year, between 2010 and 2020

C

The instantaneous rate of change of carbon dioxide concentration, in parts per million per year, in 2020

D

The total carbon dioxide concentration, in parts per million, in the atmosphere in 2020

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