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

In order to estimate the average rate of change over the interval [5.13, 8.77], you need to know the values of the function at the endpoints of the interval.

Let's say the function is f(x) and the values at x=5.13 and x=8.77 are f(5.13) and f(8.77) respectively.

The average rate of change over the interval [5.13, 8.77] is given by:

Average Rate of Change = (f(8.77) - f(5.13)) / (8.77 - 5.13)

You will need to substitute the values of f(8.77) and f(5.13) into the formula to calculate the average rate of change.