Question

HOW DO YOU FIND THE AVERAGE RATE OF CHANGE USING THE GRAPH?

Answer 1

Answer: Explained

Step-by-step explanation: We are to explain how to find the average rate of change using the graph.

In a graph, the average rate of change is given by the vertical change divided by the horizontal change between two points on a line.

Thus, the average rate of change is given by

`R=\frac{\textup{vertical change}}{\textup{horizontal change}}.`

In the attached figure, consider the points P(1.5,1) and Q(0,2).

So, vertical change = 2 - 1 = 1,

and

horizontal change = 0 - 1.5 = -1.5.

Therefore, rate of change is

`R=(1)/(-1.5)=-(2)/(3).`

Hence, explained.