2003 AMC 12B Problems/Problem 9

Revision as of 20:35, 1 November 2012 by WieJ (talk | contribs) (Created page with "Since <math>f</math> is a linear function with slope <math>m</math>, <cmath>m = \frac{f(6) - f(2)}{\Delta x} = \frac{12}{6 - 2} = 3</cmath> <cmath>f(12) - f(2) = m \Delta x = 4...")
(diff) ← Older revision | Latest revision (diff) | Newer revision → (diff)

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

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

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