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