Two functions are described below.
1. Function A: A taxi driver charges customers a base amount of $3.00 and also an amount of $2.00 per mile, x, for a total charge, y, to a customer.
2. Function B: The equation y = 3x + 2 represents the relationship between the number of miles, x, a taxi travels and the total charge, y, to a customer.
Which statement correctly compares the relationship between Function A and Function B?

A. Function A has both a greater rate of change and a greater initial value.
B. Function B has both a greater rate of change and a greater initial value.
C. Function A has a greater rate of change than Function B. but the initial value for Function A is less than the initial value for Function B.
D. Function B has a greater rate of change than Function A, but the initial value for Function B is less than the initial value for Function A.