Which differential equation most appropriately models a quantity that decreases at a…

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

Problem

Which differential equation most appropriately models a quantity that decreases at a rate proportional to its current amount? (a)

\dfrac{dy}{dt}=-k y

with

k>0

(b)

\dfrac{dy}{dt}=k y

with

k>0

(c)

\dfrac{dy}{dt}=-k y^{2}

with

k>0

(d)

\dfrac{dy}{dt}=-k

with

k>0