2003 AMC 12B Problems/Problem 6

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Since $f$ is a linear function with slope $m$,

\[m = \frac{f(6) - f(2)}{\Delta x} = \frac{12}{4} = 3\]

\[f(12) - f(2) = m \Delta x = 4(12 - 2) = 30 \Rightarrow \text (D)\]