Question

Which function described below has the greatest rate of change? I WILL MARK BRAINLIEST​

Answer 1

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.