SOLUTION: The population of a town was 12500 in 1990. Each year the population decreased by an average of 6%. Write an exponential function that models this situation, clearly state what the

Question 757544: The population of a town was 12500 in 1990. Each year the population decreased by an average of 6%. Write an exponential function that models this situation, clearly state what the variables represent and use your model to estimate near the end of what year the population dropped below 6000?
Answer by Cromlix(4381) (Show Source): You can put this solution on YOUR website!
Population(t) = Population(0) * 0.94^t (t = years)
6000 = 12500 * 0.94^t
6000/12500 = 0.94^t
0.48 = 0.94^t
loge 0.48 = t loge 0.94
t = loge 0.48/ loge 0.94
t = 11.86 years => 12years
Population(t) = Population(0) * 0.94^t
= 12500 * 0.94^12
= 5949.
Hope this helps.
:-)

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