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

Answer 1

Solve the following system of linear equations by graphing. Use your Desmos calculator to graph them, and choose the answer that matches the solution.

y = 5x + 3

y = 5x + 15

(1 point)
Responses

No solutions
No solutions

(3,5)
(3,5)

(5,3)
(5,3)

Infinite solutions
Infinite solutions

Answer 2

To model the fundraising situation for the Lakewood baseball team's T-shirt sales, we can establish two key equations:

1. **Cost Equation:** This equation models the total cost to produce \( x \) shirts. The cost consists of a fixed setup cost and a variable cost per shirt:
\[
y = 10x + 100
\]
where \( y \) is the total cost, \( x \) is the number of shirts, $10 is the cost per shirt, and $100 is the initial setup cost.

2. **Revenue Equation:** This equation models the total revenue from selling \( x \) shirts. Here, the revenue is generated by selling each shirt:
\[
y = 15x
\]
where \( y \) is the total revenue, and $15 is the selling price per shirt.

Therefore, the equations that model this situation are:

1. \( y = 10x + 100 \) (Cost equation)
2. \( y = 15x \) (Revenue equation)