If Per Capita GDP in a Richer Country Grows at a Faster

If per capita GDP in a richer country grows at a faster annual rate than in a poorer country,

A) the gap between their standards of living will widen over time.
B) the gap between their standards of living will close over time.
C) the gap between their standards of living will close over time as long as the rate of population growth is higher in the poorer country.
D) whether the gap in living standards widens or closes over time depends on the absolute size of the relative growth rates.
E) the difference in their living standards will not change over time.