In 2020, city a had a population of 200,000 people and is expected to grow at a rate of 4.2% per year. city b had a population of 250,000 people and is expected to decrease at a rate of 4.1% per year. part a. write exponential functions to model the population of city a and the population of city b. (2 points) part b. predict the populations of cities a and b in the year 2024. show all work. (2 points) part c. during what year will the population of city a exceed city b? show all of your work and explain your reasoning. (3 points) part d. during what year will the population of city a be at least twice the size of the population of city b? show all of your work and explain your reasoning. (3 points)