To ascertain the population disparity between Town A and Town B in 1993, the initial step involves computing the annual growth rate for each municipality over the period from 1985 to 1989. Subsequently, this calculated growth rate will be applied to forecast their respective populations for the year 1993.
Town A Population (1985) = 20,000
Town A Population (1989) = 25,000
Growth over 4 years (1985-1989):Growth Rate = ((Final Population - Initial Population)/Initial Population) * 100 / Number of Years
Applying the figures:
Annual Growth Rate for Town A = ((25,000 - 20,000) / 20,000) * 100 / 4 = 6.25%
Town B Population (1985) = 20,000
Town B Population (1989) = 28,000
Growth over 4 years:Annual Growth Rate for Town B = ((28,000 - 20,000) / 20,000) * 100 / 4
Annual Growth Rate for Town B = ((28,000 - 20,000) / 20,000) * 100 / 4 = 10%
The next stage is to project the population for each town for an additional 4-year period (1989 to 1993).
Town A Population (1989) = 25,000
Projected Population = Initial Population * (1 + Annual Growth Rate)^Number of Years
Projected Population for Town A (1993) = 25,000 * (1 + 0.0625)^4 ≈ 31,600
Town B Population (1989) = 28,000
Projected Population for Town B (1993) = 28,000 * (1 + 0.10)^4 ≈ 38,550
Difference = Population of Town B (1993) - Population of Town A (1993)
Difference = 38,550 - 31,600 = 6,950
Consequently, the population difference between the two towns in 1993 is determined to be 6,950.