Question 1197144: A culture of bacteria doubles every 2 minutes. If there are 320 bacteria at the beginning, how many will there be after 5 minutes?
Found 2 solutions by Theo, ikleyn:
Answer by Theo(13342)   (Show Source):
You can put this solution on YOUR website! formula you can use is f = p * (1 + r) ^ n
f is the future value
p is the present value
r is the interest rate per time period.
n is the number of time periods.
if a time period is 2 minutes, then 5 minutes is 2.5 time periods.
if the bacteria double evey 2 minutes, then the growth factor is 2.
since the growth factor is equal to 1 + the growth rate, then the growth rate is equal to 1.
if you start with 320 bacteria, then the formula becomes:
f = 320 * (1 + 1) ^ 2.5 = 320 * 2 ^ 2.5 = 1810.19336
Answer by ikleyn(52900)  (Show Source):
You can put this solution on YOUR website! .
A culture of bacteria doubles every 2 minutes. If there are 320 bacteria at the beginning,
how many will there be after 5 minutes?
~~~~~~~~~~~~~~
5 minutes is 2.5 times the doubling period.
Therefore, the number of bacteria after 5 minutes is  = 1810 (rounded). ANSWER
Solved.
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To see many other similar and different solved problems on bacteria growth, look into the lesson
- Bacteria growth problems
in this site.
Also, you have this free of charge online textbook in ALGEBRA-I in this site
- ALGEBRA-I - YOUR ONLINE TEXTBOOK.
The referred lesson is the part of this online textbook under the topic "Logarithms".
Save the link to this online textbook together with its description
Free of charge online textbook in ALGEBRA-I
https://www.algebra.com/algebra/homework/quadratic/lessons/ALGEBRA-I-YOUR-ONLINE-TEXTBOOK.lesson
to your archive and use it when it is needed.
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