The Hernandez family left for a vacation at 8 a.m. By noon they were 208 miles away from home and the family stopped to get lunch. Calculate the average rate of change. I don't know what the rate of change is... I mean, I got that they were traveling at 52mph is that the answer?

Some examples of "Average rate of change" involve calculating miles per gallon, miles per hour, etc. In this problem, you are calculating the average rate of speed which is distance/time:

208/4hours = 52 mph.

Therefore, you are correct.