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The average rate of change is another name for the slope of a line through the two points they are asking on each interval. Average rate of change from x=a to x=b \[\large ave~rate~change=\frac{ f(b) -f(a)}{ b-a }\]
that sound familiar at all?
Here is a picture of an exponential like the one in the prob. The average rate of change between those two points, a to b, is the slope of a line connecting them, rise over run, change in y over change in x... |dw:1481259285338:dw|
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