A population of bacteria is modeled by the exponential function P(t) = 45 x 2^(t/3) where t is in days.

To the nearest day, when will the population reach 400?

Question

A population of bacteria is modeled by the exponential function P(t) = 45 x 2^(t/3) where t is in days.

To the nearest day, when will the population reach 400?

anonymous · Answer

it's means that P(t)=400
then:
400=45 * 2^(t/3)
2^(t/3)=400/45=80/9
(t/3) ln2 = 80/9
t=80/(3ln2)
use calculator to get your answer :)

anonymous · Answer

Thank you

anonymous · Answer

welcome!

anonymous · Answer

Hey can you see if you can help me in this too...

anonymous · Answer

anonymous · Answer

give me 10 min - I need to finish other problem first