The population (in millions) of a country as a function of time t (years) is P(t) =

Question:

The population (in millions) of a country as a function of time t (years) is P(t) = 30.20.1t . Show that the population doubles every 10 years. Show more generally that for any positive constants a and k, the function g(t) = a2kt doubles after 1/k years.