What is the average rate of change for the relation shown in the table?

Explanation

To find the average rate of change, we use the formula (y2 - y1) / (x2 - x1), which represents the change in y divided by the change in x. From the table, select two points, say (x1, y1) = (-3, -1) and (x2, y2) = (6, 5). The change in y is 5 - (-1) = 6, and the change in x is 6 - (-3) = 9. Therefore, the average rate of change is 6/9, which simplifies to 2/3. Options A, B, and D represent incorrect calculations of these differences.