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Homework Statement
A bacteria culture starts with 1000 bacteria and grows to a population of 7000 after an hour.
a) Find the size of the population after t hours.
b) Find the size of the population after 3 hours.
c) Find the rate of growth of the population after 3 hours.
d) When will the population reach 10 000?
Homework Equations
y = yoe[itex]^{kt}[/itex]
The Attempt at a Solution
a) y = yoe[itex]^{kt}[/itex]
7000 = 1000e[itex]^{kt}[/itex]
7 = e[itex]^{kt}[/itex]
ln7 = kt
ln7/t = k (is this it?)
b) y = yoe[itex]^{kt}[/itex]
y = 1000e[itex]^{k(2)}[/itex] (am I on the right track?)
c) I know I have to take the derivative but what do I take the derivative of?
d) No idea.
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