The population of a certain bacteria culture (in thousands) is

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

Problem

P=200e^{0.05t}

, where

t

is the time in hours. The percentage rate of growth of the population at

t = 10

h is (a)

8.2\%\text{ per hour}

(b)

0.5\%\text{ per hour}

(c)

5\%\text{ per hour}

(d)

16.5\%\text{ per hour}