The mass , in grams, of a tumor satisfies . At months, the mass is grams and…

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

Problem

The mass

M(t)

, in grams, of a tumor satisfies

\dfrac{dM}{dt}=kM

. At

t=2

months, the mass is

8

grams and increasing at a rate of

1.2

grams per month. What is the instantaneous growth rate of the tumor at

t=5

months? (a)

1.2\text{ g/month}

(b)

1.6\text{ g/month}

(c)

1.9\text{ g/month}

(d)

2.4\text{ g/month}