Answer:
A country with a very low per capita GDP can have a very high growth rate because mathematically, when the DENOMINATOR is VERY LOW, even a small difference in the NUMERATOR will result in a large growth rate.
Step-by-step explanation:
The reason why poor countries tend to grow at much higher rate than rich countries is fairly simple to explain, a small increase in absolute revenue will result in a large percent increase. On the other hand, rich countries need really large increases in revenue in order to get a small percent increase.
For example, in 2018 the GDP per capita in the US is $62,641, a $1,000 increase would result in only a 1.6% increase.
On the other hand, in 2018 the GDP per capita in China is $10,200, a $1,000 increase would result in a 9.8% increase.
in 2018 the GDP per capita in Africa (the whole continent) is $4,097.85, a $1,000 increase would result in a 24.4% increase.
In order to get a 24.4% increase in the American GDP per capita, an increase of $19,781.37 would be needed. China's economic indicators are showing this, before t grew by more than 10% per year, now it is growing below 7%, and soon it will be growing at around 5%. It is not possible to keep growing at extremely high rates forever.