A scientist observed the population of butterflies in two different fields. In field A, the population of butterflies is defined by the function A(x) = 50(1.2)3x, where x represents the number of years.

In field B, the population of butterflies is defined by the function B(x) = 25(1.728)x, where x represents the number of years.

Which statement is true?
A.
The initial butterfly population of field B is smaller than the initial butterfly population of field A, but the population of both fields is decreasing at the same rate.

B.
The initial butterfly population of field B is smaller than the initial butterfly population of field A, but the population of both fields is increasing at the same rate.

C.
The initial butterfly population of field B is greater than the initial butterfly population of field A, but the population of both fields is decreasing at the same rate.

D.
The initial butterfly population of field B is greater than the initial butterfly population of field A, but the population of both fields is increasing at the same rate.