2003 AMC 12B Problems/Problem 6: Difference between revisions
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Since <math>f</math> is a linear function with slope <math>m</math>, | Since <math>f</math> is a linear function with slope <math>m</math>, | ||
<cmath>\frac{f(6) - f(2)}{\Delta x} = | <cmath>m = \frac{f(6) - f(2)}{\Delta x} = \frac{12}{4} = 3</cmath> | ||
<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> | ||
Revision as of 19:27, 1 November 2012
Since 
is a linear function with slope 
,
![\[m = \frac{f(6) - f(2)}{\Delta x} = \frac{12}{4} = 3\]](http://latex.artofproblemsolving.com/8/d/5/8d5c00e6a68c39277983802116cf6268c91f5a1f.png)
![\[f(12) - f(2) = m \Delta x = 4(12 - 2) = 30 \Rightarrow \text (D)\]](http://latex.artofproblemsolving.com/c/d/c/cdc31f45fb1779b7e68669b031b809d19e97db40.png)
