Question

Find the average rate of change of the function defined by the following table.

x y
-2 -5
2 35
6 75
10 115

Answer 1

1/10

Explanation:

The x goes up by 4 and the y goes up by 40

= 4/40 = 1/10

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Answer 2

A careful examination of the data in the table shows that for each 4 unit increase in x, y increases by 40.

It's valid to surmise that the average rate of change is 40/4, or 10. This is the slope of the line thru the given points.