SOLUTION: A species of bacteria doubles every 2 hours, so that a culture of 200 bacteria would grow to 400 after 2 hours and 800 after 4 hours. If there were b bacteria initially, which of t

Question 1105186: A species of bacteria doubles every 2 hours, so that a culture of 200 bacteria would grow to 400 after 2 hours and 800 after 4 hours. If there were b bacteria initially, which of the following expressions correctly describes the amount of bacteria present after one day?
Answer by Boreal(15235) (Show Source): You can put this solution on YOUR website!
A=Pe^kt
A/P=2=e^kt
ln2=kt, and t=2 hours
ln2=2k
k=(1/2)ln 2.
After one day, which is 24 hours,
A=b*e^(12*ln 2)
A=4096*b
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