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AP® Calculus AB-BC

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Family of Differential Equation Solutions

APCALC-F3ULB6

Consider a population of pea plants whose rate of change over the summer is modeled by $\cfrac{dP}{dt}=kP$ where $k$ is a nonzero constant and $t$ is measured in months.

An expression that gives $P$, the number of pea plants, could be given by

I. $4e^{kt}$
II. $e^{kt} + 3$
III. $-2ke^{kt}$

A

I only.

B

II only.

C

I or II only.

D

I or III only.