A bacterial culture has an initial population of 300 cells and grows according to

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

Problem

\dfrac{dP}{dt}=0.12P

, where

t

is measured in hours. To the nearest tenth of an hour, how long will it take for the population to reach 900 cells? (a)

4.0\text{ h}

(b)

16.7\text{ h}

(c)

9.2\text{ h}

(d)

9.7\text{ h}