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 situation, we need to define what each variable represents:

  • Let \( x \) be the number of T-shirts sold.
  • Let \( y \) represent the total cost or revenue.
  1. Cost Equation: To find the total cost for the shirts, we have a fixed cost of $100 for printing and setup, plus $10 for each shirt. This can be represented as: \[ y = 10x + 100 \]

  2. Revenue Equation: To find out the revenue generated from selling the shirts, the team sells each shirt for $15. The revenue can be represented as: \[ y = 15x \]

Thus, the two equations that model this situation are:

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