2003 AMC 12B Problems/Problem 6

Revision as of 19:25, 1 November 2012 by WieJ (talk | contribs) (Created page with "Since <math>f</math> is a linear function with slope <math>m</math>, <cmath>\frac{f(6) - f(2)}{\Delta x} = m</cmath> <cmath>\frac{12}{\6 - 2} = m</cmath> <cmath>m = 3</cmath> <...")
(diff) ← Older revision | Latest revision (diff) | Newer revision → (diff)

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

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

\[\frac{12}{\6 - 2} = m\] (Error compiling LaTeX. Unknown error_msg)

\[m = 3\]

$$ (Error compiling LaTeX. Unknown error_msg)\frac{f(12) - f(2) = m\Delta x = 4(12 - 2) = 30 \Rightarrow \text {(D)}