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 = 100x + 10

y = 15x

y = 100x + 15

1 answer

In this situation, we can model the costs and revenues with two different equations:

  1. Cost Equation: This equation models the total cost (y) to produce x shirts. The cost consists of a fixed setup cost of $100 plus $10 for each shirt produced. Therefore, the cost equation is: \[ y = 10x + 100 \]

  2. Revenue Equation: This equation models the total revenue (y) generated from selling x shirts. The revenue from selling each shirt is $15, so the revenue equation is: \[ y = 15x \]

Thus, the correct equations that model this situation are:

  • \( y = 10x + 100 \) (cost equation)
  • \( y = 15x \) (revenue equation)