SOLUTION: The bacteria E Coli are found in the human bladder. Suppose 2,000 bacteria are present at time t = 0. Then, t minutes later the number of bacteria present can be approximated by

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Question 251387: The bacteria E Coli are found in the human bladder. Suppose 2,000 bacteria are present at time t = 0. Then, t minutes later the number of bacteria present can be approximated by N(t) = 2000(3)t/12.


How many bacteria will be present after 40 minutes?
How long will it take before there are 100,000 bacteria present?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
N%28t%29+=+2000%2A3%5E%28t%2F12%29
given:
t+=+40 min
N%2840%29+=+2000%2A3%5E%2840%2F12%29
N%2840%29+=+2000%2A3%5E%2810%2F3%29
N%2840%29+=+2000%2A38.94
N%2840%29+=+77881
-----------------
given:
N%28t%29+=+100000
100000+=2000%2A3%5E%28t%2F12%29
50+=+3%5E%28t%2F12%29
Take the log of both sides
log%2850%29+=+log%283%5E%28t%2F12%29%29
1.69897+=+%28t%2F12%29%2Alog%283%29
1.69897+=+.47712%2A%28t%2F12%29
t%2F12+=+1.69897%2F.47712
t%2F12+=+3.56088
t+=+42.73 min