Answer:
C III
Step-by-step explanation:
The rate of change of a linear function is the slope.
f(x) = mx + b is the equation of a linear function whose graph is a straight line. m is the slope.
I f(x) = 4x - 3; m = slope = 4
II f(x) = 1/2 x + 5; m = slope = 1/2
III We can use two points to find the slope.
Let's use points (1, 6) and (2, 12).
m = slope = (y2 - y1)/(x2 x1) = (12 - 6)/(2 - 1) = 6/1 = 6
The three slopes are 4, 1/2, 6.
The greatest rate of change is 6, so the answer is C III.
