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 the variables:

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

1. **Cost Equation**: This equation models the total cost incurred by the team to produce the shirts. There is a fixed cost of $100 for printing design and setup, and a variable cost of $10 per shirt. Thus, the total cost \( y \) can be represented by the equation:
\[
y = 10x + 100
\]

2. **Revenue Equation**: This equation models the total revenue generated from selling the shirts. The shirts are sold for $15 each, so the total revenue \( y \) when \( x \) shirts are sold can be expressed by the equation:
\[
y = 15x
\]

So the two equations are:

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

The correct responses are:

- \( y = 10x + 100 \)
- \( y = 15x \)