The population P (in thousands) of a city from 2000 through 2016 can be modeled by
P = 2632/1 + 0.083e0.050t
where t represents the year, with t = 0 corresponding to 2000.
(a) Use the model to find the populations of the city in the years 2000, 2005, 2010, and 2015.
(b) Use a graphing utility to graph the function.
(c) Use the graph to determine the year in which the population reached 2.2 million.
(d) Confirm your answer to part (c) algebraically.