Difference between revisions of "2003 AMC 12B Problems/Problem 9"

Revision as of 10:25, 4 July 2013

Let $f$ be a linear function for which $f(6) - f(2) = 12.$ What is $f(12) - f(2)?$

$\text {(A) } 12 \qquad \text {(B) } 18 \qquad \text {(C) } 24 \qquad \text {(D) } 30 \qquad \text {(E) } 36$

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

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

$f(12) - f(2) = m \Delta x = 4(12 - 2) = 30 \Rightarrow \text (D)$ The problems on this page are copyrighted by the Mathematical Association of America's American Mathematics Competitions.

Revision as of 20:42, 1 November 2012 (view source) WieJ (talk \| contribs) (→‎Problem 9) ← Older edit		Revision as of 10:25, 4 July 2013 (view source) Nathan wailes (talk \| contribs) Newer edit →
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	<cmath>f(12) - f(2) = m \Delta x = 4(12 - 2) = 30 \Rightarrow \text (D)</cmath>		<cmath>f(12) - f(2) = m \Delta x = 4(12 - 2) = 30 \Rightarrow \text (D)</cmath>
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