a culture contains 1500 bacteria initially and doubles every 30 mins. a) find a function that models the number of bacteria at time t. b) find the number of bacteria after 2 hours. c) after how much time will there be 4000 bacteria ...?
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Below are the answers:
a. An = Ao • 2^(t/30) b. An = 1500 • 2^(60*2/30) or An = 24000 c. 4000 = 1500 • 2^(t/30) or 4000/1500 = 2^(t/30) or ln(40/15) = (t/30) ln(2) or t = 30* ln(8/3) / ln(2) or t ~ 42.45 min
