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)

y = 10x + 100

y = 100x + 10

y = 15x

y = 100x + 15

1 answer

To model the fundraising situation for the Lakewood baseball team selling T-shirts, we need to establish two equations: one for the costs and another for the revenue from selling the shirts.

  1. Cost Equation: The total cost (y) to produce x shirts includes a fixed setup cost of $100 and a variable cost of $10 per shirt. The equation for the total cost is: \[ y = 10x + 100 \]

  2. Revenue Equation: The total revenue (y) from selling x shirts at a price of $15 each is given by: \[ y = 15x \]

So, the two equations that model this situation are:

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