Population growth rate is the rate at which the population of a country increases.
- The population growth rate is 1.6%
- The population of country X will double after 44 years
Given
[tex]B = \frac{38}{1000}[/tex] --- birth rate
[tex]D = \frac{24}{1000}[/tex] --- death rate
[tex]N =\frac{2}{1000}[/tex] -- net-in migration rate
(a) The population growth rate
The population growth rate is:
[tex]r = B - D + N[/tex]
So, we have:
[tex]r = \frac{38}{1000} - \frac{24}{1000} + \frac{2}{1000}[/tex]
Take LCM
[tex]r = \frac{38 -24 + 2}{1000}[/tex]
[tex]r = \frac{16}{1000}[/tex]
[tex]r = 0.016[/tex]
Express as percentage
[tex]r = 0.016 \times 100\%[/tex]
[tex]r = 1.6 \%[/tex]
Hence, the population growth rate is 1.6%
(b) Number of years to double
Using the rule of 70, the number of years (n) to double is:
[tex]n = \frac{70}{r}[/tex]
So, we have:
[tex]n = \frac{70}{1.6}[/tex]
[tex]n = 43.75[/tex]
[tex]n = 44[/tex] -- approximated
Hence, it will take 44 years for the population to double
Read more about population growth rate at:
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