SOLUTION: A certain culture initially has 25 bacteria and is observed to double every 5 hours.
A) Find an exponential model n(t) = n02t/a for the number of bacteria in the culture after t
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Question 1072028: A certain culture initially has 25 bacteria and is observed to double every 5 hours.
A) Find an exponential model n(t) = n02t/a for the number of bacteria in the culture after t
hours.
B) Estimate the number of bacteria after 18 hours. Round down the next lower bacterium.
C) After how many hours will the bacteria count reach 2 million.
Answer by jorel1380(3719) (Show Source): You can put this solution on YOUR website!
A) The exponential model you are looking for would be: n(t)=n₀*2^(t/5),where t is the number of hours after the first 25 bacterium were counted.
B)n=n₀ * 2^(18/5)=25 * 12.125732=303.1433
C) 2000000=25 * 2^(n/5)
2^(n/5)=80000
n/5=16.2877123795
n=81.4385618977 hours until there a 2 million bacterium. ☺☺☺☺
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