The formula to calculate the average rate of change between two points is given to be:
[tex]AROC=\frac{y_2-y_1}{x_2-x_1}[/tex]
The two points A and B in the question have the coordinates:
[tex]\begin{gathered} A\Rightarrow(x_1,y_1)=(0,4) \\ B\Rightarrow(x_2,y_2)=(1,7) \end{gathered}[/tex]
Therefore, the average rate of change is calculated as follows:
[tex]AROC=\frac{7-4}{1-0}=\frac{3}{1}=3[/tex]
Hence, the correct option is OPTION D.
