SOLUTION: For a certain strain of bacteria? k is 0.134 when t is measured in days. How long will it take 4 bacteria to increase to 140?

Algebra ->  Quadratic Equations and Parabolas -> SOLUTION: For a certain strain of bacteria? k is 0.134 when t is measured in days. How long will it take 4 bacteria to increase to 140?      Log On


   

Question 252921: For a certain strain of bacteria? k is 0.134 when t is measured in days. How long will it take 4 bacteria to increase to 140?
Answer by drk(1908) About Me  (Show Source):
You can put this solution on YOUR website!
I will assume exponential growth here with the following formula:
A+=+p%2Ae%5E%28rt%29
from our given information, we have
140+=+4%2Ae%5E%28.134t%29
divide by 4 to get
35+=+e%5E%28.134t%29
take LN of both sides to get
3.555348+=+%28.134t%29
divide by .134 to get
t ~ 26.532 days.