The rate of change of a graph, is the slope of the graph.
The rate of change of the graph is 4.5
The points on the graph are:
[tex]\mathbf{(x,y) = (2,9) (4,18)}[/tex]
So, the slope (m) is calculated as:
[tex]\mathbf{m = \frac{y_2 - y_1}{x_2 - x_1}}[/tex]
This gives
[tex]\mathbf{m = \frac{18 - 9}{4-2}}[/tex]
[tex]\mathbf{m = \frac{9}{2}}[/tex]
[tex]\mathbf{m = 4.5}[/tex]
Hence, the rate of change of the graph is 4.5
Read more about rates at:
https://brainly.com/question/12786410
