Asked by Pratibha
Bacteria in a culture grow 50m per thousand in an hour if the count of bacteria in a sample is 1 million after 2 hours it will be?
Answers
Answered by
oobleck
If there are y thousand bacteria after t hours, then you have
dy/dt = 50000y
dy/y = 50000 dt
ln y = 50000t + c
y = c e^50000t
y(0) = 1000, so
c = 1000
y = 1000 e^50000t
those are some huge numbers. If I have misinterpreted things, maybe you can fix it. The way the question is worded, it does not look to be a linear growth rate ...
dy/dt = 50000y
dy/y = 50000 dt
ln y = 50000t + c
y = c e^50000t
y(0) = 1000, so
c = 1000
y = 1000 e^50000t
those are some huge numbers. If I have misinterpreted things, maybe you can fix it. The way the question is worded, it does not look to be a linear growth rate ...
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