Question

Jack is selling wristbands and headbands to earn money for camp. He earns $2 for each wristband and $3 for each headband. He wants to earn at least $50. He needs to sell at least 5 wristbands. Which system of inequalities is shown in the graph of the solution below?

Answer 1

2x + 3y ≥ 50; x ≥ 5; x ≥ 0; y ≥ 0

Explanation:

Answer 2

Let
x = wristbands
y = headbands
We then have the following inequations:
2x + 3y> = 50
x> = 5
The graph that represents the solution for this system of inequations is shown in the attached image.
The set of solutions is the shaded region.