Adam can spend a maximum of $252 on office supplies. Each ream of paper costs $6. Each ink cartridge costs $18. Which of the following graphs represents the possible combinations of paper and ink cartridges that he may buy?

To answer this question, we first need to understand the constraints of the problem. Adam has a maximum budget of $252. Each ream of paper costs$6 and each ink cartridge costs $18.

Let's denote the number of reams of paper Adam can buy as 'x' and the number of ink cartridges as 'y'.

The total cost of the office supplies Adam buys should not exceed $252. This can be represented by the inequality: 6x + 18y ≤ 252.

To find the possible combinations of paper and ink cartridges Adam can buy, we can start by finding the maximum number of each item he can buy if he were to only buy one type of item.

If Adam were to only buy paper, he could buy 252/6 = 42 reams of paper. So one end of our graph will be (42, 0).

If Adam were to only buy ink cartridges, he could buy 252/18 = 14 cartridges. So the other end of our graph will be (0, 14).

The graph representing the possible combinations of paper and ink cartridges Adam can buy will be a line connecting these two points (42, 0) and (0, 14), with all the points under the line representing the combinations Adam can afford.

Please note that 'x' and 'y' should be integers as Adam cannot buy a fraction of a ream of paper or an ink cartridge.