The graph below plots a function f(x): If x represents time, the average rate of change of the function f(x) in the first three
seconds is.

-50

Step-by-step explanation:

The average rate of change is synonymous with the slope. Therefore, we will find the slope of the function from x=0 to x=3.

So, we will use the endpoints of the function.

At x=0, f(x)=150. Thus, we have the point (0, 150).

At x=3, f(x)=0. Thus, we have the point (3, 0).

Now, we can use the slope formula:

Let (0, 150) be (x₁, y₁) and let (3, 0) be (x₂, y₂). Substitute:

Therefore, the average rate of change for the first three seconds is -50.

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