The projected population of the United States for the years 2025 through 2055 can be modeled by P = 307.58e0.0052t, where P is the population (in millions) and t is the time (in years), with t = 25 corresponding to 2025.
(a) Use a graphing utility to graph the function for the years 2025 through 2055.
(b) Use the table feature of the graphing utility to create a table of values for the same time period as in part (a).
(c) According to the model, during what year will the population of the United States exceed 430 million?