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:
The required exponential equation is,
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Where N = Population size
t = time period
r = ‘intrinsic rate of natural increase’ = b-d
d = death rates
b = birth rates
From the given criteria,
N2005 = 14 million
b = 0.028
d = 0.008
∴ r = b-d = 0.028 – 0008 = 0.020
dt = 2015 – 2005 = 10 years
Using exponential equation,
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⇒ dN = 0.28×10 = 2.8
We know
dN = N2015- N2005
⇒ N2015= dN + N2005 = 2.8 + 14 = 16.8 ≈ 17 millions
Using exponential equation, the number of people present in 2015 is predicted as 17 millions.
Hence the correct answer is option (b).
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