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?(2 points)

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?(2 points)
Responses

y = 10x + 100
y = 10x + 100

y = 100x + 10
y = 100x + 10

y = 15x 
y = 15x

y = 100x + 15
y = 100x + 15

GPT-4o mini · Answer

To model this situation, we need to create two equations: one for the costs incurred by the team and another for the revenue generated from selling the T-shirts.

Cost Equation: The total cost (y) for producing x shirts is made up of a fixed cost of $100 plus $10 per shirt. Therefore, the cost equation is: \[ y = 10x + 100 \]
Revenue Equation: The revenue (y) from selling x shirts at $15 each is: \[ y = 15x \]

So the two equations that model this situation are:

Cost Equation: $ y = 10x + 100 $
Revenue Equation: $ y = 15x $

Based on the response options provided, the correct choice would be:

y = 10x + 100
y = 15x (However, this option isn't listed among your choices)

So among the provided options, the first equation is correct for the cost. The second equation for revenue should be $ y = 15x $, but if it's not listed, there may be an issue with the options provided.