step by step solution :
Find the slope of function G:
y=4x+2
m=4,b=2
We know that:
The rate of change for a line is the slope:
Recall the two points Form Function F:
(4,18)(6,24)
Substitute the (4,18) and (6,24) into the Slope Formula:
m=\frac{24-18}{6-4}\implies m=\frac{6}{2}m=3
Notice that, since 4>3:
So,
The rate of change of function G is greater than the rate of change of Function F:
The rate of change of function G is greater than the rate of change of Function F because 4>3 and The correct option is (D).