A Bacterial Culture Grows Exponentially; That Is, P(t) = 100 $\mathrm { e^{kt} }$

Multiple Choice

A bacterial culture grows exponentially; that is, P(t) = 100 $\mathrm { e^{kt} }$ , where P(t) is the size of the culture at time t hours. Suppose that after 2 hours the size of the culture is 400. What is k (approximately) ?

A) 3
B) 0.69
C) 0.06
D) 0.48
E) none of these