AP Calculus AB / Differential Equations / Question No. 17

17. The rate at which a quantity \( B \) of a certain substance decays is proportional to the amount of the substance present at a given time. Which of the following is a differential equation that could describe this relationship?

\( \frac{dB}{dt} = -2.4t^2 \)

\( \frac{dB}{dt} = 0.04t^2 \)

\( \frac{dB}{dt} = -0.32B \)

\( \frac{dB}{dt} = 2.1B \)

Answer is: option3

\( \frac{dB}{dt} = -0.32B \)

Solution:

\( \frac{dB}{dt} = -0.32B \)

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Home Practice Questions AP Calculus AB Differential Equations Question No. 17

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