The growth rate of a bacterial culture is modeled by cells per hour for

MATHEMATICS · Single correct · AP · Calculus AB · Applications of Integration · Applications of Integration

Problem

The growth rate of a bacterial culture is modeled by

r(t)=5e^{0.2t}

cells per hour for

0\le t\le 4

. What is the average growth rate of the culture, in cells per hour, during this period? (a)

25\left(e^{0.8}-1\right)

(b)

5e^{0.4}

(c)

6.25\left(e^{0.8}-1\right)

(d)

5e^{0.8}