Question

Monique only has $36 to buy pens and notebooks. Each pen costs $2. Each

notebook costs $3. Which of the following graphs represents the possible
combinations of pens and notebooks that she may purchase?

Answer 1

B.

Explanation:

Let's call x the number of pens and y the number of notebooks that Monique can buy.

If each pen costs $2 and each notebook costs $3, so she is going to spend 2*x on pens and she is going to spend 3*y on notebooks.

Additionally, she is going to spend a maximum of $36. so:

2x + 3y
`\leq` 36

It means that the line that separated the region is:

2x + 3y = 36

This is the same that a line that passes for the points (0,12) and (18,0) or the line of the region B