SOLUTION: At the start of an experiment the number of bacteria was 100. This number increases so that after t minutes the number of bacteria,N, is given by the formula N = 100 × 2^t . Estim

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Question 1179567: At the start of an experiment the number of bacteria was 100. This number increases so that after t minutes the number of bacteria,N, is given by the formula N = 100 × 2^t . Estimate the number pf bacteria after 12 minutes. Estimate the time,in minutes,it takes for the number of bacteria to exceed 10 000 000.
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
At the start of an experiment the number of bacteria was 100.
This number increases so that after t minutes the number of bacteria,N, is given by the formula N = 100 × 2^t .
Estimate the number of bacteria after 12 minutes.
N+=+100+%2A+2%5Et
t = 12
N+=+100+%2A+2%5E12
N = 100 * 4096
N = 409,600 no. of bacteria
:
Estimate the time, in minutes, it takes for the number of bacteria to exceed 10 000 000.
100+%2A+2%5Et+%3E+10000000
2%5Et+%3E+10000000%2F100
2%5Et+%3E+100000
Use common logs
t*log(2) > log(100000)
t > 5%2Flog%282%29
t ~ 17 minutes