Question

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) Responses y = 10x + 100 y = 10x + 100 y = 100x + 10 y = 100x + 10 y = 15x  y = 15x  y = 100x + 15

Answer 1

To model the situation with two equations, we can define variables for our equations:

• Let \( x \) represent the number of shirts sold.
• Let \( y \) represent the total cost (or revenue).

1. For the total cost incurred by the team to produce the shirts:

   • The fixed cost for printing design and setup is $100, and the variable cost is $10 per shirt. Hence, the equation representing the total cost is: \[ y = 10x + 100 \]

2. For the total revenue generated by selling the shirts:

   • The team sells each shirt for $15, so as they sell \( x \) shirts, the total revenue generated is: \[ y = 15x \]

Thus, the two equations that model this situation are:

1. Total cost: \( y = 10x + 100 \)
2. Total revenue: \( y = 15x \)

So, the correct answer is:

• \( y = 10x + 100 \)
• \( y = 15x \)