In 2000, there were about 200 million vehicles and about 277 million people in a certain country. The number of vehicles has been growing at 3.5% a year, while the population has been growing at 1% a year.
(a) Write a formula for the number of vehicles (in millions) as a function of $t$, the number of years since 2000. Use the general exponential form.
$V(t) = $
(b) Write a formula for the number of people (in millions) as a function of $t$, the number of years since 2000. Use the general exponential form.
$P(t) = $
(c) If the growth rates remain constant, when is there, on average, one vehicle per person? Give your answer in exact form and decimal form.
Exact form:
years since 2000
Decimal form (nearest tenth)
years since 2000