If f(x) is a linear function, what is the value of n?xf(x)377n9161626.5

The table gives points (3, 7), (9, 16), and (16, 26.5). Since f is linear, its slope is constant: from (9, 16) to (16, 26.5), the slope is (26.5 − 16) ÷ (16 − 9) = 1.5. From x = 3 to x = 7, the function value therefore increases by 1.5 × 4 = 6, so n = 7 + 6 = 13. The correct choice is 13.

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