Problem

year. In 1990, Alphaville had a population of 6000, and Betaburgh had a population of 3500 . Answer parts a) through c).
a) Determine the population models for both cities.
The population model for Alphaville is $P(t)=$

Answer

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Answer

\(\boxed{\text{The question does not provide enough information to determine the population models for both cities.}}\)

Steps

Step 1 :The problem states that in 1990, Alphaville had a population of 6000, and Betaburgh had a population of 3500.

Step 2 :The problem asks to determine the population models for both cities.

Step 3 :However, the problem does not provide enough information to determine the population models for both cities.

Step 4 :We need more information such as the rate of growth or decline of the population in each city.

Step 5 :Without this information, we cannot proceed to generate a solution.

Step 6 :If we assume a constant rate of growth, we could use the formula for exponential growth to model the population.

Step 7 :The formula is \(P(t) = P0 * e^(rt)\), where \(P0\) is the initial population, \(r\) is the rate of growth, \(t\) is time, and \(e\) is the base of natural logarithms.

Step 8 :But again, without the rate of growth, we cannot proceed.

Step 9 :\(\boxed{\text{The question does not provide enough information to determine the population models for both cities.}}\)

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