Final answer:
The average rate of change for the function f(x) = (4/3)x + 8 over any interval is the slope of the line, which is 4/3.
Step-by-step explanation:
The average rate of change for a linear function like f(x) = (4/3)x + 8 is represented by the slope of the line, which is the coefficient of x in the equation.
For the function f(x) = (4/3)x + 8, the average rate of change over any given interval will always be equal to the slope of the function, which is 4/3.
The slope is constant across the entire line, meaning the average rate of change is the same over any interval. In this function, the slope is 4/3, which means the average rate of change over any given interval is 4/3.