Question

Eric can spend a maximum if $270 on office supplies. each team of paper costs $6. each link cartridge costs $18. which of the following graphs represents the possible combinations of paper and ink cartridges can he buy,

Answer 1

Data:

Team of paper: x

Link cartridge: y

Cost:

Team of paper: 6x

Link cartridge: 18y

As the maximum Eric can spend is $270:

`6x+18y\leq270`

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:

`\begin{gathered} 6(0)+18y=270 \\ 18y=270 \\ y=(270)/(18) \\ \\ y=15 \end{gathered}`

If y=0 x=?

Substitute the y in the equation by 0:

`\begin{gathered} 6x+18(0)=270 \\ 6x=270 \\ x=(270)/(6) \\ \\ x=45 \end{gathered}`

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: