At time t = 0, a country has a total population P(0) = 80, 000 and has U(0) = 30, 000 urban residents. Some 12 years later, at time t = 12, the respective totals are P(12) = 110, 000 and U(12) = 40, 000.

Please find:

(a)The continuous rates of growth of the urban population and the total national population between t = 0 and t = 12;

(b)The pace of urbanization between t = 0 and t = 12. Be sure to explain the pace of urbanization measure that you have used in answering.

(c)If the continuous rates of growth of the national and urban populations stay fixed until time t = 15, what will be the ratio of U(15)/P(15) at that time? By stay fixed, I mean that the rates of growth that were in effect from t = 0 to t = 12 stay in effect until t = 15.