Question 821663: Cholera is an infectious disease caused by the bacterium Vibrio cholera. This bacteria is known to grow exponentially. If you begin with a laboratory sample of 100 bacteria at 12:00 noon, and measure that there are 400 bacteria in your sample at 1:00pm the same day, how many bacteria would you expect in your sample at 3:00pm? Round answer to nearest unit.
Answer by TimothyLamb(4379)   (Show Source):
You can put this solution on YOUR website! ---
f(t)= P*e^(tk)
where:
P = initial value
k = growth or decay factor per unit of time
t = time
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at t=1 hour, f(1) = 400 bacteria
f(1) = 400 = 100*e^k
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400/100 = e^k
4 = e^k
ln(4) = ln( e^k )
ln(4) = k
k = 1.3862944 growth factor per hour
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at t=3 hours, f(3) = ?
f(3) = 100*e^(3k)
f(3) = 100*e^(3k)
f(3) = 100*64
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answer:
at 3 pm expect 6400 bacteria
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