Asked by Elizabeth
A culture of bacteria triples every 7 minutes. How long will it take a culture originally consisting of 24 bacteria to grow to a population of 100 000 bacteria.
Answers
Answered by
oobleck
Looks like you and "Lauren" need to get together
the population after t minutes is 24*3^(t/7)
so, you need to solve
24*3^(t/7) = 100000
3^(t/7) = 12500/3
t/7 log3 = log(12500/3)
Now finish it off
the population after t minutes is 24*3^(t/7)
so, you need to solve
24*3^(t/7) = 100000
3^(t/7) = 12500/3
t/7 log3 = log(12500/3)
Now finish it off
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