Question: Two functions are described below. • 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. • 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.
Correct answer: C
Grade: 8 | Topic: Functions | Difficulty: Hard | Standard: 8.F.A.2