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?

answers:

y = 10x + 100

y = 100x + 10

y = 15x

y = 100x + 15

Answer 1

you sure

Answer 2

To model the situation of the Lakewood baseball team's T-shirt fundraiser, we need to define the variables:

- Let \( x \) be the number of shirts sold.
- Let \( y \) be the total cost incurred by the team.

**Total Cost Equation:**
The total cost consists of a fixed cost (printing design and setup) plus the variable cost per shirt. The fixed cost is $100, and the variable cost is $10 per shirt. Therefore, the equation for total cost \( y \) can be expressed as:
\[
y = 10x + 100
\]

**Total Revenue Equation:**
The total revenue generated from selling the shirts is based on the selling price per shirt, which is $15. Thus, the equation for total revenue \( y \) is represented as:
\[
y = 15x
\]

Therefore, the two equations that model this situation are:
1. Total Cost: \( y = 10x + 100 \)
2. Total Revenue: \( y = 15x \)

So the correct choice from your options is:
- \( y = 10x + 100 \) (cost equation)
- \( y = 15x \) (revenue equation)

Answer 3

Yes, I am sure regarding the modeling of the Lakewood baseball team's T-shirt fundraiser. Here’s a summary and clarification:

1. **Cost Equation:**
- The team incurs a fixed cost of $100 for printing design and setup.
- The cost to make each T-shirt is $10.
- Thus, if \( x \) is the number of shirts sold, the total cost \( y \) can be represented by the equation:
\[
y = 10x + 100
\]
This captures both the fixed cost (setup) and the variable cost (printing each shirt).

2. **Revenue Equation:**
- The shirts are sold for $15 each.
- Therefore, if \( x \) is the number of shirts sold, the total revenue \( y \) from selling the shirts can be expressed as:
\[
y = 15x
\]

These two equations will allow the team to model costs and revenues from the T-shirt sales.

So, in conclusion, the correct modeling equations are:
- Total Cost: \( y = 10x + 100 \)
- Total Revenue: \( y = 15x \)

Let me know if you have any further questions or need additional clarification!