Difference between revisions of "2003 AMC 12B Problems/Problem 6"

Line 2: Line 2:
  
 
<cmath>\frac{f(6) - f(2)}{\Delta x} = m</cmath>
 
<cmath>\frac{f(6) - f(2)}{\Delta x} = m</cmath>
<cmath>\frac{12}{\6 - 2} = m</cmath>
+
<cmath>\frac{12}{\4} = m</cmath>
 
<cmath>m = 3</cmath>
 
<cmath>m = 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 19:26, 1 November 2012

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

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

\[\frac{12}{\4} = m\] (Error compiling LaTeX. Unknown error_msg)

\[m = 3\]

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