The difference between the rate of change of B and the rate of change of A is 15.
How to get the difference in the rates of change?
First, we need to get the two rates of change.
We have two linear functions.
A: y = 35*x
For function A the rate of change is the slope, wich is 35.
Function B is graphed.
Remember that if a line passes through two points (x₁, y₁) and (x₂,y₂) then the slope is:
[tex]a = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
In the graph, we can see that line B passes through (0, 0) and (1, 50), then the slope is:
[tex]a = \frac{50 - 0}{1 - 0} = 50[/tex]
Then the rate of change of B is 50.
The difference between the rates of change is:
diff = 50 - 35 = 15
If you want to learn more about rates of change:
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