Answer
The definitions are below.
Work Step by Step
Average rate of change is the rate of change over a finite (non-infinitesimal), measurable interval. This is found by taking the difference in value over the measurable time difference, and dividing this by the measurable time difference.
Instantaneous rate of change is the rate of change over an infinitesimal, non-measurable interval. This can only be found by taking the derivative.