I picked an initial population of 123,456 to use in this investigation. I then used the exponential equation: Future value = Initial Population * ert to calculate the final population after a given amount of time. In this equation, e is the natural number (approximately 2.7183); r is the annual rate of growth expressed as a decimal; and t is time having passed in years.I then calculated the population after 15 years using three different growth rates – 5%, 7%, and 9%.Population at First Time = Initial Population * ertFor Rate 1 = 123456 * e(0.05 * 15) = 261356.35, confirmed with value from spreadsheet of 261356For Rate 2 = 123456 * e(0.07 * 15) = 352794.18, confirmed with value from spreadsheet of 352794For Rate 3 = 123456 * e(0.09 * 15) =476222.33, confirmed with value from spreadsheet of 476222I repeated the process to find the population after 30 years.Population at Second Time = Initial Population * ertFor Rate 1 = 123456 * e(0.05 * 30) = 553291.41, confirmed with value from spreadsheet of = 553291For Rate 2 = 123456 * e(0.07 * 30) = 1008162.67, confirmed with value from spreadsheet of = 1008162For Rate 3 = 123456 * e(0.09