Meh
which function has the greatest rate of change?
a. 14x – 2y = 8
b. y = 6x – 5
c.
x y
−2 −7
−1 −2
0 3
d.
the graph is letter d.

Rate of Change is the same as Slope.

A.



Convert to slope-intercept form.

Subtract 14x to both sides:



Divide -2 to both sides:



So the rate of change here is 7.

B.



This is already in slope-intercept form, so the rate of change here is 6.

C.

Take any two points on the graph and plug them into the slope formula.

Let's take (-1, -2) and (0, 3).
               x1  y1        x2 y2



Plug in the numbers:



Subtract:



Divide:



So the rate of change here is 5.

D.

Take any two points on the line and plug them into the slope formula.

Let's take (0, -2) and (1, 3)
               x1 y1        x2 y2



Plug in the numbers:



Subtract:



Divide:



So the rate of change here is 5.

Therefore, A has the greatest rate of change.