Function f is an exponential function that has an initial value of 64 and decreases by 50% as x increases by 1 unit. Function g is represented by the table.

x 0 1 2 3 4
g(x) 75 43 27 19 15

Which statement correctly compares the two functions on the interval [0, 4]?

A.
Both functions are decreasing at the same average rate on that interval.
B.
Function f is decreasing, but function g is increasing, on that interval.
C.
Both functions are decreasing, but function g is decreasing at a faster average rate on that interval.
D.
Both functions are decreasing, but function f is decreasing at a faster average rate on that interval.