[tex]\bf \begin{array}{l|lllllll}
w&2&4&6&8&10\\\\
h(w)&\stackrel{2\cdot 2}{4}&\stackrel{2\cdot 4}{8}&\stackrel{2\cdot 6}{12}&\stackrel{2\cdot 8}{16}&\stackrel{2\cdot 10}{20}
\end{array}
\\\\\\
slope = {{ m}}= \cfrac{rise}{run} \implies
\cfrac{{{ h(w_2)}}-{{ h(w_1)}}}{{{ w_2}}-{{ w_1}}}\impliedby
\begin{array}{llll}
average\ rate\\
of\ change
\end{array}
\\\\\\
\cfrac{\textit{how many hats Ms Sutton makes}}{\textit{for every passing week}}[/tex]
notice, every h(w) value, is just twice as much as a w value.
so for every "w", she makes "2*w" hats.
