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Algebra 2 exponential function help. Please.?
The original population is 6000. After two hours, the population reaches 28000.
Write an exponential function that could be used to model the population after x hours if the population changes at the same rate.
How much will the population reach after for his?
1 Answer
- MichaelLv 76 years ago
P(2) = Ae^2k
28000 = 6000e^2k
4.6667 - e^2k
ln4.6667 = 2k
k = ln4.6667 / 2
t = 0.770222520473575
P(x) = Ae^ 0.770222520473575x <-----
After 4 hours
P(4) = 6000e^ (0.770222520473575 *4)
P(4) = 130667 <-----
m12042014