In this situation, we can model the costs and revenues with two different equations:
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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: \[ y = 10x + 100 \]
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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)