If f of x is a linear function, what is the value of n ? x f of x 3 7 7 n 9 16 16 26 point 5

Since f is linear, its rate of change is constant. From (3, 7) to (9, 16), the slope is (16 − 7) ÷ (9 − 3) = 1.5. From x = 3 to x = 7, the input increases by 4, so f(x) increases by 4 × 1.5 = 6; therefore n = 7 + 6 = 13, choice C.

AI-written and checked against the verified answer.