Estimate the average rate of change over the interval [5.13, 8.77]

To estimate the average rate of change over the interval [5.13, 8.77], we first need to determine the change in the function value over this interval.

Let's assume the function is denoted by f(x). The change in the function value over the interval [5.13, 8.77] can be calculated as:

Change in function value = f(8.77) - f(5.13)

Once we have calculated the change in the function value, we can then divide it by the change in the interval:

Average rate of change = (f(8.77) - f(5.13)) / (8.77 - 5.13)

From this calculation, we can estimate the average rate of change over the interval [5.13, 8.77].