Question 664121
the population of a bacteria colony starts at 100 & grows by 28% per hr.
After each hour, it's 1.28 times what it was.
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a) find a formula for the number of bacteria P after t hrs
P = 100*1.28^t, t in hours
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b) what is the doubling time for this population so how long does it take the population to double in size
200 = 100*1.28^t
1.28^t = 2
t*log(1.28) = log(2)
t = log(2)/log(1.28)
t =~ 2.808 hours
c) what is the continuous growth rate of the colony