SOLUTION: A population of bacteria doubles every 18 hours. Initially, the population of bacteria is 50. What is the population of the bacteria after 60 hours? then round to the neares

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Question 1105014: A population of bacteria doubles every 18 hours. Initially, the population of bacteria is 50.
What is the population of the bacteria after 60 hours?
then round to the nearest whole number

Answer by Boreal(15235) About Me  (Show Source):
You can put this solution on YOUR website!
A=Aoe^kt
A/Ao=2=e^kt
ln 2=kt
t=18
therefore, k=ln2/18=0.0385
A=50*e^(0.0385*60)=503.72 or 504.
Check
After 18 hours the population is 100.
After 36 hours, 200
After 54 hours 400
After 72 hours 800.
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