Difference between revisions of "2006 AMC 8 Problems/Problem 10"
Math Kirby (talk | contribs) (Created page with "== Problem == Jorge's teacher asks him to plot all the ordered pairs <math> (w. l) </math> of positive integers for which <math> w </math> is the width and <math> l </math> is t...") |
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== Solution == | == Solution == | ||
− | The length of the rectangle will relate invertly to the width, specifically using the theorem <math> l=\frac{12}{w} </math>. The only graph that could represent a inverted relationship is <math> \boxed{\textbf{(E)}} </math>. (The rest are linear graphs that represent | + | The length of the rectangle will relate invertly to the width, specifically using the theorem <math> l=\frac{12}{w} </math>. The only graph that could represent a inverted relationship is <math> \boxed{\textbf{(E)}} </math>. (The rest are linear graphs that represent direct relationships) |
Revision as of 21:20, 6 September 2011
Problem
Jorge's teacher asks him to plot all the ordered pairs of positive integers for which is the width and is the length of a rectangle with area 12. What should his graph look like?
Solution
The length of the rectangle will relate invertly to the width, specifically using the theorem . The only graph that could represent a inverted relationship is . (The rest are linear graphs that represent direct relationships)