Question

The number of bacteria in a culture is modeled by

n(t)=1710e071t
(a) The initial number of bacteria is
(b) The relative rate of growth of this bacterium population is
(c) The number of bacteria after 3 hours is
(d) After how many hours will the number of bacteria reach 10,000?
Your answer is

I got the A=1710
B=?
c=14389
D=?
I keep getting b and d wrong any suggestions. thanks in advance!

Answer 1

a. ok.

b.

c. ok.

d. 1710*e^0.71t = 10,000
e^0.71t = 10,000 / 1710 = 5.85
0.71t*Lne = Ln5.85
Divide both sides by Lne:
0.71t = Ln5.85 / Lne = 1.7664
t = 1.7664 / 0.71 = 2.49 Hours.