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)**.