Answer:
B
Step-by-step explanation:
The average rate of change is synonymous with the slope.
So, essentially, we want to find the average slope of our function f(x) from x=0 to x=10.
So, we will use the two following points: (0,5) and (10, -20).
Recall the slope formula:
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
Let (0, 5) be (x₁, y₁) and (10, -20) be (x₂, y₂). Substitute. This yields:
[tex]m=\frac{-20-5}{10-0}[/tex]
Subtract and reduce:
[tex]m=-25/10=-5/2[/tex]
So, the average slope of f(x) between x=0 and x=10 is -5/2.
Our answer is B.
And we're done!
