Question

Eric can spend a maximum of $270 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

If we say A = ream of paper and B = cost of ink than we can set-up an expression to calculate when A is equal to a number what the number of B will be. Maximim of 270$ so anything we buy must be equal to this. Ream of paper cost 6$ each so 6A represents the number of reams bought since we said A is number of reams of paper. Ink Cartridges are 18$ each so 18B would represent this based on B = to cost of ink. Now setting up our equation 6A + 18B = 270 When A = 1 B = 14.67 Ink Cartridges When A = 1 Ream ofpaper

Hope this helps!!
~Lena~

Answer 2

The graph in the attached figure

Explanation:

Let

x-----> the number of reams of paper

y -----> the number of ink cartridge

we know that

`6x+18y\leq 270` ----> linear inequality that represent the possible combinations of paper and ink cartridges Eric can buy

using a graphing tool

The solution is the triangular shaded area between the positive values of x and y

see the attached figure