Species X has an initial population of individuals and grows continuously at rate

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

Problem

Species X has an initial population of

50

individuals and grows continuously at rate

0.07\text{ day}^{-1}

. Species Y starts with

200

individuals but declines continuously at rate

0.03\text{ day}^{-1}

. The two populations are equal at time

t_0

. Ten days after

t_0

, what is the approximate ratio

\dfrac{\text{population of X}}{\text{population of Y}}

? (a)

2.02

(b)

2.72

(c)

1.49

(d)

2.43