a. Do some research and find a city that has experienced population growth. Determine its population on January 1 of a certain year. Write an exponential function to represent the city’s population, y, based on the number of years that pass, x, after a period of exponential growth. Describe the variables and numbers that you used in your equation. b. Find another city that started out with a larger population than the city in part (a), but that, over the same time period, experienced population decline. Determine its population on January 1 of the same year you picked for part (a). Write an exponential function to represent the city’s population, y, based on the number of years that pass, x, after a period of population decline. Describe the variables and numbers you used in your equation. c. Explain the similarities and differences between your equations in parts (a) and (b). d. In what year will the population of city (a) first exceed that of city (b)? Show all of your work and explain your steps. e. In what year will the population of city (a) be at least twice the population of city (b)? Show all of your work and explain your steps.