SOLUTION: A certain strain of virus grows in numbers at the rate of 50% per hour. If its present population is 411,000 what will be its population count in 3 hours?

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Question 251453: A certain strain of virus grows in numbers at the rate of 50% per hour. If its present population is 411,000 what will be its population count in 3 hours?
Answer by nerdybill(7384) About Me  (Show Source):
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A certain strain of virus grows in numbers at the rate of 50% per hour. If its present population is 411,000 what will be its population count in 3 hours?
.
The general form:
A = Pe^(kt)
.
We need to determine k:
1.5(411) = 411e^k
1.5 = e^k
ln 1.5 = k
0.4055 = k
.
The equation:
A(t) = 411e^(0.4055t)
.
In three hours:
A(3) = 411e^(0.4055*3)
A(3) = 411(3.375)
A(3) = 1387.125 k
Or
A(3) = 1,387,125