SOLUTION: The Number of bacteria in a culture was 1000 initially and tripled every 6 hours. Let t be time in hours since the start of the experiment and B(t) is the number of bacteria in the

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Question 1005827: The Number of bacteria in a culture was 1000 initially and tripled every 6 hours. Let t be time in hours since the start of the experiment and B(t) is the number of bacteria in the culture at time t.
How long until there are 5000 bacteria?
Found 2 solutions by josgarithmetic, MathTherapy:
Answer by josgarithmetic(39618) About Me  (Show Source):
You can put this solution on YOUR website!
1 hour 28 minutes.

That is how much time to reach 5000.
Found growth constant was 1.0986 for the model B=1000%2Ae%5E%281.0986%2At%29.

The site interupted connection just after I clicked to post my very complete solution, so that work is lost.

Answer by MathTherapy(10552) About Me  (Show Source):
You can put this solution on YOUR website!
The Number of bacteria in a culture was 1000 initially and tripled every 6 hours. Let t be time in hours since the start of the experiment and B(t) is the number of bacteria in the culture at time t.
How long until there are 5000 bacteria?
Growth rate: .183102

Function: B%28t%29+=+A%5Bo%5De%5E%28rt%29

5000+=+1000e%5E%28.183102t%29 -------- Substituting 5,000 for B(t); 1,000 for A%5Bo%5D, and 0.183102 for r 

Time it takes to accumulate 5,000 bacteria: highlight_green%28t=+8.789841%29 hours