### Related images to average rate of change secant line

We use the two points , and , . Notice that additional hours gives us a t value of and the total number of miles is d = = . The average velocity is the average rate of change of this distance with respect to time..Since the average rate of change of a function is the slope of the associated line we have already done the work in the last problem. That is, the average rate of change of from is . That is, over the interval [,], for every unit change in x, there is a unit change in the value of the function..