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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 select all that apply

1. y = 10x + 100
2. y = 100x + 10
3. y = 15x
4. y = 100x + 15

1 answer

To model the situation described in the problem, we need to look at the costs and revenues.

Cost of T-shirts:

  • Fixed cost for printing design and setup: $100
  • Variable cost per shirt: $10 So, the total cost (y) for producing x shirts can be represented as: \[ y = 10x + 100 \] This corresponds to equation 1.

Revenue from selling T-shirts:

  • Selling price per shirt: $15 So, the total revenue (y) from selling x shirts can be represented as: \[ y = 15x \] This corresponds to equation 3.

Thus, the two equations that model this situation are:

  1. \( y = 10x + 100 \) (cost)
  2. \( y = 15x \) (revenue)

So the correct selections are 1 and 3.