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 277893: 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.
By what percent is the population decreasing yearly?
Answer: %
Answer by Theo(13342) (Show Source): You can put this solution on YOUR website!
Your formula should read:
A = 1236 * .97^T
The ^ sign indicates exponentiation.
The general formula for population increase or decrease is:
F = P * (1+G)^T where:
F = future population
P = present population
G = annual growth rate
T = number of years
Since your equation is shown as:
A = 1236 * .97^T, then:
F = A
P = 1236
1 + G = .97
T = number of years.
Since 1 + G = .97, this means that G = -.03 because 1 - .03 = .97
Your annual growth rate is -.03.
That's equivalent to -.03 * 100% = -3% which is a negative 3 percent per year.
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