The Lakewood baseball team is selling T-shirts for a fundraiser. The shirts cost $100 for the printing design and setup, plus $10 per shirt. The team is going to sell the shirts for $15 each. What two equations model this situation? (2 points)

Question

y = 10x + 100
• y = 100x + 10.
y = 15x
• y = 100x + 15

Answer 1

To model the situation with two equations, we need to represent both the cost of making the shirts and the revenue from selling the shirts.

1. Cost Equation (C): This represents the total cost of producing the shirts, which includes a fixed cost of $100 for printing setup and $10 per shirt. The equation for the cost (C) in terms of the number of shirts (x) is: \[ C = 10x + 100 \]

2. Revenue Equation (R): This represents the total revenue from selling the shirts. If the team sells the shirts for $15 each, the revenue (R) from selling x shirts would be: \[ R = 15x \]

So the two equations that model this situation are:

• Cost: \( y = 10x + 100 \)
• Revenue: \( y = 15x \)

Therefore, the correct answer is:

• \( y = 10x + 100 \)
• \( y = 15x \)