Question

Vince works for his uncle at a lumber yard. Vince's pay is represented by this line graph.How much is Vince paid for one hour of work?

Answer 1

SOLUTION

To get how much Vince is paid for one hour of work, we simply find the slope of the graph.

Slope is given as

$\begin{gathered} s=\text{ }\frac{y2-y1}{x2-x1} \\ \end{gathered}$

Let's consider two points on the line

x1 at 20 hours, which gives y1 at $180

x2 t 40 hours, which gives y2 at $360

Slope becomes

$\begin{gathered} s\text{ = }\frac{y2-y1}{x2-x1} \\ \\ s\text{ = }\frac{360-180}{40-20} \\ \\ s\text{ = }\frac{180}{20} \\ \\ s\text{ = }9 \end{gathered}$

That means Vince is paid $9 at every hour of work.