SOLUTION: The growth model for a population of bacteria is given by P(t)=35e^2t. How many days will it take until the bacteria has exceeded 8,750? The correct answer is one of the follo

Algebra ->  Exponential-and-logarithmic-functions -> SOLUTION: The growth model for a population of bacteria is given by P(t)=35e^2t. How many days will it take until the bacteria has exceeded 8,750? The correct answer is one of the follo      Log On


   

Question 1199088: The growth model for a population of bacteria is given by P(t)=35e^2t.
How many days will it take until the bacteria has exceeded 8,750?
The correct answer is one of the following. Which one is correct?
A) about 11.0 days
B) about 8 days
C) about 4.6 days
D) about 2.8 days
Found 2 solutions by ikleyn, josgarithmetic:
Answer by ikleyn(52788) About Me  (Show Source):
You can put this solution on YOUR website!
.

You should explain in your post what the symbol "t" means in this formula.



Answer by josgarithmetic(39618) About Me  (Show Source):
You can put this solution on YOUR website!
t, time in days
35e%5E%282t%29%3E8750
ln%2835%29%2Bln%28e%5E%282t%29%29%3Eln%288750%29
ln%2835%29%2B2t%3Eln%288750%29
2t%3Eln%288750%29-ln%2835%29
t%3E%281%2F2%29%28ln%288750%29-ln%2835%29%29
t%3E%281%2F2%295.52146
t%3E2.76
Whole Number of days, highlight%28t=3%29