In 2000, there were roughly 200 million vehicles and about 279 million people in the certain country. Number of vehicles has been increasing at 4.5% a year, while population has been increasing at 1% a year.
(a) Write the formula for number of vehicles (in millions) as the function of t, number of years since 2000.
(b) Write the formula for number of people (in millions) as the function of t, number of years since 2000.
(c) If growth rates remain constant, when is there, on average, one vehicle per person? Write the answer in exact form and decimal form.