SOLUTION: The population of a small town has been gradually decreasing over the past number of years. The equation: A = 1236(.97)t, where t is time in years, models the decrease in the town
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Question 277890: The population of a small town has been gradually decreasing over the past number of years. The equation: A = 1236(.97)t, where t is time in years, models the decrease in the town’s population.
What was the initial population of the town according to the equation model?
Answer:
Answer by Theo(13342) (Show Source): You can put this solution on YOUR website!
your formula should read:
A = 1236 * (.97)^T where:
A is the future population.
T is the time in years.
The ^ indicates exponentiation.
According to the equation model, the initial population is 1236.
The general form of the equation is:
F = P * (1+G)^T where:
F = the future population
P = the present population
G = the annual growth rate
T = the number of years
In your equation:
F = A
P = 1236
G = -.03 because 1 - .03 = .97
T = number of years
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