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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?

answers:

y = 10x + 100

y = 100x + 10

y = 15x

y = 100x + 15

3 answers

To model the situation of the Lakewood baseball team's T-shirt fundraiser, we need to define the variables:

  • Let \( x \) be the number of shirts sold.
  • Let \( y \) be the total cost incurred by the team.

Total Cost Equation: The total cost consists of a fixed cost (printing design and setup) plus the variable cost per shirt. The fixed cost is $100, and the variable cost is $10 per shirt. Therefore, the equation for total cost \( y \) can be expressed as: \[ y = 10x + 100 \]

Total Revenue Equation: The total revenue generated from selling the shirts is based on the selling price per shirt, which is $15. Thus, the equation for total revenue \( y \) is represented as: \[ y = 15x \]

Therefore, the two equations that model this situation are:

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

So the correct choice from your options is:

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

Yes, I am sure regarding the modeling of the Lakewood baseball team's T-shirt fundraiser. Here’s a summary and clarification:

  1. Cost Equation:

    • The team incurs a fixed cost of $100 for printing design and setup.
    • The cost to make each T-shirt is $10.
    • Thus, if \( x \) is the number of shirts sold, the total cost \( y \) can be represented by the equation: \[ y = 10x + 100 \] This captures both the fixed cost (setup) and the variable cost (printing each shirt).

  2. Revenue Equation:

    • The shirts are sold for $15 each.
    • Therefore, if \( x \) is the number of shirts sold, the total revenue \( y \) from selling the shirts can be expressed as: \[ y = 15x \]

These two equations will allow the team to model costs and revenues from the T-shirt sales.

So, in conclusion, the correct modeling equations are:

  • Total Cost: \( y = 10x + 100 \)
  • Total Revenue: \( y = 15x \)

Let me know if you have any further questions or need additional clarification!