In 2005, for each of the 14 million people present in a country, `0.028` were born and `0.008` died during the year. Using exponential equation, the number of people present in 2015 is predicted as

Options

A. 25 millions
B. 17 millions
C. 20 millions
D. 18 millions

Answer

B

Explanation

Exponential equation gives populatin growth rate as `(dN)/(dt) = rN`
Here,r = intrinsic rate of natural increase N = size of original population `(dN)/(dt)` = Increase in populatin size per unit time (1 year in this case)
r is the difference between birth and death rate. `r = 0.028-0.008=0.02`
`therefore(dN)/(dt)=0.02xx14" million"= 0.28 " million"` Over 10 years (2005 - 2015), this number will become = 2.8 million.
Expected population in 2015 = `(14+2.8)` million
= 17 million (approx.)