Question

What is the average rate of change from point A to point B in the graph below? A(1/3) B(3/7) C(3) D(6)

Answer 1

Step 1: Define the formula

The formula for finding the average rate of change is :

`\text{Average rate of change = }(y_2-y_1)/(x_2-x_1)`

Step 2: Identify the coordinates of the points on the line

A(-3, -1), B(6, 2)

Step 3: Apply the formula

`\begin{gathered} \text{Average rate of change = }(2-(-1))/(6-(-3)) \\ =\text{ }\frac{2\text{ + 1}}{6\text{ + 3}} \\ =\text{ }(3)/(9) \\ =\text{ }(1)/(3) \end{gathered}`

Hence, the average rate of change is 1/3

Answer: Option A