Data:
Team of paper: x
Link cartridge: y
Cost:
Team of paper: 6x
Link cartridge: 18y
As the maximum Eric can spend is $270:
[tex]6x+18y\leq270[/tex]
You use this inequation to find the graph:
1. Find two points by using the equation:
If x=0 y=?
Substitute the x in the equation by 0:
[tex]\begin{gathered} 6(0)+18y=270 \\ 18y=270 \\ y=\frac{270}{18} \\ \\ y=15 \end{gathered}[/tex]
If y=0 x=?
Substitute the y in the equation by 0:
[tex]\begin{gathered} 6x+18(0)=270 \\ 6x=270 \\ x=\frac{270}{6} \\ \\ x=45 \end{gathered}[/tex]
Then, you have the next coordinates (x,y) for the graph:
(0 , 15) and ( 45, 0)
2. Put the points in the x-y plane and draw a line:
As the inequality is less than or equal to 270 you shade the area under the line.
Then, you get the next graph:
