SOLUTION: Please help me with this every answer I have tried is wrong. A bacteria culture starts with 1000 bacteria and grows at a rate proportional to its size. After 3 hours there will

Algebra ->  Exponential-and-logarithmic-functions -> SOLUTION: Please help me with this every answer I have tried is wrong. A bacteria culture starts with 1000 bacteria and grows at a rate proportional to its size. After 3 hours there will       Log On


   

Question 1025183: Please help me with this every answer I have tried is wrong.
A bacteria culture starts with 1000 bacteria and grows at a rate proportional to its size. After 3 hours there will be 3000 bacteria.
(a) Express the population P after t hours as a function of t.
P(t)=
My answers were 0.366204, P(3)=1000e^0.366204
Answer by robertb(5830) About Me  (Show Source):
You can put this solution on YOUR website!
P%28t%29+=+1000e%5E%280.36620409622t%29
The proportionality constant is ln3%2F3+=+0.36620409622.
==> P%28t%29+=+1000e%5E%28%28ln3%2F3%29%2At%29