If the population of a country grows according to the formula y = cekx where y is...

If the population of a country grows according to the formula

y = ce^kx

where y is the population after x years from the reference year, then we can determine the population of a country for a given year from two census figures. For example, given that a country with a population of 1,000,000 in 1970 grows to 2,000,000 by 1990, we can predict the country’s population in the year 2000. Here’s how we do the computation. Letting x be the number of years after 1970, we obtain the constant c as 1,000,000 because

1,000,000 = ce^k0 = c

Then we determine the value of k as

Finally we can predict the population in the year 2000 by substituting 0.03466 for k and 30 for x (2000 -1970 = 30). Thus, we predict

y = 1,000,000e^0.03466(30) ≈ 2,828,651

as the population of the country for the year 2000. Write an application that accepts five input values—year A, population in year A, year B, population in year B, and year C—and predict the population for year C.