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?
Answers
GPT-4o mini
To model the situation of the Lakewood baseball team's T-shirt fundraiser, we can define two equations: one for the team's total costs and another for their total revenue.
1. **Cost Equation**: This equation represents the total cost (C) of producing the T-shirts. The fixed cost for printing design and setup is $100, and the variable cost is $10 per shirt. If we let \( x \) represent the number of shirts produced, the cost equation can be written as:
\[
C = 100 + 10x
\]
2. **Revenue Equation**: This equation represents the total revenue (R) from selling the T-shirts. The team sells each shirt for $15, so if \( x \) is the number of shirts sold, the revenue equation can be expressed as:
\[
R = 15x
\]
In summary, the two equations that model this situation are:
1. \( C = 100 + 10x \) (Cost)
2. \( R = 15x \) (Revenue)
1. **Cost Equation**: This equation represents the total cost (C) of producing the T-shirts. The fixed cost for printing design and setup is $100, and the variable cost is $10 per shirt. If we let \( x \) represent the number of shirts produced, the cost equation can be written as:
\[
C = 100 + 10x
\]
2. **Revenue Equation**: This equation represents the total revenue (R) from selling the T-shirts. The team sells each shirt for $15, so if \( x \) is the number of shirts sold, the revenue equation can be expressed as:
\[
R = 15x
\]
In summary, the two equations that model this situation are:
1. \( C = 100 + 10x \) (Cost)
2. \( R = 15x \) (Revenue)