Question

Eula needs to buy binders that cost $4 each and notebooks that cost $2 each. She has $20. The graph of the inequality 4x + 2y ≤ 20, which represents the situation, is shown. What is the greatest number of binders Eula can buy?

Answer 1

To find the greatest number of binders Eula can buy, we solve the inequality 4x + 2y ≤ 20 for x. The greatest number of binders Eula can buy is given by (20 - 2y) / 4.

Step-by-step explanation:

To find the greatest number of binders Eula can buy, we need to solve the inequality 4x + 2y ≤ 20 for x (since we are looking for the number of binders). First, we isolate x by subtracting 2y from both sides: 4x ≤ 20 - 2y. Then, we divide both sides by 4 to solve for x: x ≤ (20 - 2y) / 4. Since binders cost $4 each, we substitute x with (20 - 2y) / 4 in the equation. So, the greatest number of binders Eula can buy is (20 - 2y) / 4.