2000 at time 0, doubles every half hour
4000 in 30 minutes
8000 in 60 minutes
16,000 in 90 minutes
32,000 in 120 minutes
64,000 in 150 minutes
128,000 in 180 minutes
256,000 in 210 minutes
512,000 in 240 minutes
1,024,000 in 270 minutes
2,048,000 in 300 minutes
4,096,000 in 330 minutes
8,192,000 in 360 minutes = 360/60 = 6 hours
A = P(2)^t with t measured in number of half hours, A,P in thousands
A=2(2)^2 = 8 in one hour,
A=2(2)^12 = 2^13 = 8192 in 6 hours
or A=2^(t+1)
A =2^(12+1) = 8,192 thousand = 8.192 million bacteria at time t= 12 half hours = 6 hours
or calculate with an exponential function with base e
2 = e^r/2
ln2 = r/2
r =2ln2 = about 1.386 = 138.6% growth rater per half hour
A =2e^1.386t
for one half hour A=e^1.386 = 4
for one hour= 60 minutes A =2e^1.386(2) = 8
for 6 hours, t=12, A =2e^1.386(6) = 8192
A=2e^2ln2(6) = 8192
