Question

If the rate of change of the population is proportional to the population and the population of a country doubled in 35 years, what is its yearly rate of increase?

I don't remember how to do this at all, so I really don't know how to start the problem.

Answer 1

It also says assume a constant rate of increase.

Answer 2

we are told that p doubles every 35 years. That means

p = Po * 2^(t/35)

Each year it increases by a factor of 2^(1/35) = 1.02, or 2% per year.