The table shows the mid-year populations (in millions) of five countries in 2015 and the projected populations (in millions) for the year 2025.

Country2015 2025

Country A7.4 6.8

Country B34.7 39.2

Country C1352.5 1390.9

Country D63.9 67.7

Country E324.9 354.3

(a) Find the exponential growth or decay modely=ae^btory=ae^bt

for the population of each country by lettingt= 15

correspond to 2015. Use the model to predict the population of each country in 2035. (Round your values ofbto five decimal places. Round your values ofato one decimal place. Round your population predictions for 2035 to one decimal place.)

CountryExponential ModelPopulation in 2035

(in millions)Ay=By=Cy=Dy=Ey=

(b) You can see that the populations of Country D and Country E are growing at different rates. What constant in the equationy=ae^bt

gives the growth rate? Discuss the relationship between the different growth rates and the magnitude of the constant.