Which differential equation best models the statement "The rate at which a bacteria…

MATHEMATICS · Single correct · AP · Calculus AB · Differential Equations · Differential Equations

Problem

Which differential equation best models the statement "The rate at which a bacteria population

P

(in cells) changes is directly proportional to the current population"? (a)

\dfrac{dP}{dt}=k

(b)

\dfrac{dP}{dt}=kP^{2}

(c)

\dfrac{dP}{dt}=kP

(d)

\dfrac{dP}{dt}=\dfrac{k}{t}P