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.
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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: \[ C = 100 + 10x \]
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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:
- \( C = 100 + 10x \) (Cost)
- \( R = 15x \) (Revenue)