The table of values shown represents a linear function. Which of these points could also be an ordered pair in the table, and why? x 0 3 6 9 12 y 3 7 11 15 19

Each time x increases by 3, y increases by 4, so the rate of change is 4/3. From x = 0 to x = 18 is six increases of 3, so y increases by 6 × 4 = 24 from its starting value of 3, giving y = 27. Thus (18, 27) fits the table, and choice B gives both the point and the correct rate of change.

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