Question

Michael can spend a maximum of $234 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?

Answer 1

Answer with explanation:

Total amount of money , that Michael can spend on office supplies = $ 234

Cost of one ream of paper= $ 6

Cost of one ink cartridge = $ 18

let number of ream of paper bought = x

And, number of ink cartridge bought = y

Now, the above statements about the problem , which can be written in the form of inequality

6 x + 18 y ≤ 234

6× (x+ 3 y)≤ 6 × 39

→→x + 3 y ≤ 39

Drawing the graph of inequality

x and y will take only positive integral value.

Answer 2

There is no graph in your question. If p is number of reams of paper, and c is number of ink cartridges, then

3p + c = 234, wich p and c natural numbers (including 0)

This means that 13 ink cartridges and 0 paper will satisfy the end amount, but also 0 ink cartridges and 39 paper. There are 14 combinations possible.