Respuesta :

mincedmeatman
Hey there!

You can find the rate of change by taking any two points from your graph and plugging them into the following equation:

[tex] \frac{y_2-y_1}{x_2-x_1} [/tex]

Let's use the first two points you're shown from least to greatest. These are (0, 0) and (1, 15). 

Now, identify what number is which and plug them into your equation. The solution will be your rate of change. 

[tex]y_2 = 15 \\ y_1 = 0 \\ x_2 = 1 \\ x_1 = 0[/tex]

[tex]\frac{15-0}{1-0}[/tex]

[tex] \frac{15}{1} [/tex]

[tex]15[/tex]

15, or D, will be your answer. 

Hope this helped you out! :-)
MrRoyal

The rate of change for the relationship represented in the graph is 15

What is rate of change?

The rate of change of a linear graph is the slope of the graph

From the graph, we have the following ordered pairs

(x,y) = (0,0) and (2,30)

So, the rate of change (m) is then calculated as:

[tex]m =\frac{y_2 -y_1}{x_2 -x_1}[/tex]

This gives

[tex]m =\frac{30 - 0}{2 - 0}[/tex]

Evaluate the differences

[tex]m =\frac{30 }{2 }[/tex]

Evaluate the difference

[tex]m=15[/tex]

Hence, the rate of change is 15

Read more about rate of change at:

https://brainly.com/question/8728504

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