2003 AMC 12B Problems/Problem 9: Difference between revisions
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..." |
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== Problem 9 == | |||
Let <math>f</math> be a linear function for which <math>f(6) - f(2) = 12.</math> What is <math>f(12) - f(2)?</math> | |||
<math> | |||
\text {(A) } 12 \qquad \text {(B) } 18 \qquad \text {(C) } 24 \qquad \text {(D) } 30 \qquad \text {(E) } 36 | |||
</math> | |||
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>, | ||
Revision as of 19:41, 1 November 2012
Problem 9
Let 
be a linear function for which 
What is 
Since is a linear function with slope 
,
![\[m = \frac{f(6) - f(2)}{\Delta x} = \frac{12}{6 - 2} = 3\]](http://latex.artofproblemsolving.com/a/a/2/aa203aedcd175b965d80f840ac73c7f9356e3456.png)
![\[f(12) - f(2) = m \Delta x = 4(12 - 2) = 30 \Rightarrow \text (D)\]](http://latex.artofproblemsolving.com/c/d/c/cdc31f45fb1779b7e68669b031b809d19e97db40.png)
