Question

What is the average rate of change from point A to point B in the graph below?A)1.5B) 1C) 2D) 3

Answer 1

The formula to calculate the average rate of change between two points is given to be:

`AROC=(y_2-y_1)/(x_2-x_1)`

The two points A and B in the question have the coordinates:

`\begin{gathered} A\Rightarrow(x_1,y_1)=(0,4) \\ B\Rightarrow(x_2,y_2)=(1,7) \end{gathered}`

Therefore, the average rate of change is calculated as follows:

`AROC=(7-4)/(1-0)=(3)/(1)=3`

Hence, the correct option is OPTION D.