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 + 10y = 15xy = 15x y = 100 x + 15

Answer 1

To model the situation with the Lakewood baseball team selling T-shirts, we can create two equations: one for the cost and one for the revenue from selling the T-shirts.

1. **Cost Equation**: Let \( x \) represent the number of T-shirts sold. The total cost \( y \) to produce \( x \) T-shirts can be expressed as:
\[
y = 10x + 100
\]
(Here, $100 is the fixed cost for printing design and setup, and $10 per shirt is the variable cost.)

2. **Revenue Equation**: The revenue \( y \) from selling \( x \) T-shirts at $15 each can be expressed as:
\[
y = 15x
\]

So, the equations that model this situation are:
- Cost: \( y = 10x + 100 \)
- Revenue: \( y = 15x \)

Thus, the correct equations are:

1. \( y = 10x + 100 \) (Cost)
2. \( y = 15x \) (Revenue)