Jorge's teacher asks him to plot all the ordered pairs $(w. l)$ of positive integers for which $w$ is the width and $l$ is the length of a rectangle with area 12. What should his graph look like?
$\textbf{(A)}$ 
$\textbf{(B)}$ 
$\textbf{(C)}$ 
$\textbf{(D)}$ 
$\textbf{(E)}$
The length of the rectangle will relate invertly to the width, specifically using the theorem $l=\frac{12}{w}$. The only graph that could represent a inverted relationship is $\boxed{\textbf{(A)}}$. (The rest are linear graphs that represent direct relationships, therefore they are incorrect.)