Function Ais expressed as
y = 4x + 6
If we compare it with the slope intercept equation which is expressed as
y = mx + c,
where
m represents slope
we can see that the slope of function A is 4
Also, the formula for determining slope is expressed as
slope = (y2 - y1)/(x2 - x1)
y2 and y1 are final and initial values of y respectively
x2 and x1 are final and initial values of x respectively
From the table representing function B,
if x1 = 1, y1 = 3
if x2 = 3, y2 = 9
Slope = (9 - 3)/(3 -1) = 6/2
slope = 3
We know that slope also means rate of change. Therefore, the rate of change of function A is 4. The rate of change of function B is 3