Question

The Orvis Ring High School junior class is selling T-shirts and caps to raise money for their senior trip next year. The caps sell for $5.00 each and the T-shirts sell for $10.00 each. The junior class needs to sell at least $500.00 worth of caps and T-shirts to pay the deposit due for the trip. Which of the following graphs represents this situation?

Answer 1

The graph representing the situation is C. Graph M.

The selling price per unit of caps = $5.00

The selling price per unit of T-shirts = $10.00

Let the number of caps = x

Let the number of T-shirts = y

Therefore, the total amount raised can be represented by the equation:

5x + 10y ≥ 500

Graphing this inequality, the best combination of x and y that satisfies the situation is Graph M, where:

x = 40 and y = 30

Therefore,

5(40) + 10(30) ≥ 500

200 + 300 ≥ 500

Thus, Option C is the correct graph that models the situation.