Suppose Per Capita GDP in a Richer Country Is Growing

Suppose per capita GDP in a richer country is growing at a faster annual rate than in a poorer country.An implication of this difference in growth rates is that

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