Que no 122

Dear student,
The correct data is 0.028 were born and 0.008 died.
Answer is b) 17 million
The exponential population increase can be described by the following equation ​N_t =N₀ e^rt​ which is derived from the equation ​dN/dT = rN,
where, N = population size
             T = Time duration for increase of population
             r = Biotic potential or rate of increase

ΔN/ ΔT = rN
 
 r = b-d (rate of increase = birth rate - death rate)
 r =  0.028 - 0.008
   = 0.020
N = initial population size = 14 million
 ​ ΔN/ ΔT = rN
 ΔN/ ΔT = 0.020 x 14 million
 ​ΔN/ ΔT = 0.28
Duration of increase in population from 2005 to 2015 = 10 years, so ΔT = 10 years
 ΔN/10 = 0.28
 ΔN = 2.8 million
Therefore change in population from 2005 to 2015 = 2.8 million and initial population size = 14 million. Final population can be calculated as given below:-
 ΔN = N_final - N_initial = 2.8 million
N_final = 2.8 + 14 = 16.8 million
Therefore final population predicted for 2015 = 16.8 million which can be rounded off to 17 million.

Regards