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A faster population growth means that on average, there are more young people who cannot yet make a significant contribution to the economy. Since GDP per person doesn't take into account whether someone is of age to work yet, a high population growth means that there are more people to divide the GDP among, so on average it will be lower.
Another reason that GDP per person is lower in high population growth countries is that people tend to have large families in agricultural economies, where you can put children to work to generate some income at an early age. These types of economies do not have the same capacity for growth as industrial economies, where technology can be more effectively used to boost output. Also, when the economy is not as developed and there are not good social benefits, which is typically the case in Third World countries, people have more children as a way to ensure their old age, which increases the growth rate and skews the labor market towards less skilled jobs

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Q: How does the rate of population growth influence the level of GDP per person?
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