Pam recently started selling custom T-shirts online. She spent $504 on screen-printing tools, and she spends $4.50 per shirt on supplies. She is selling each shirt for $15.
Which equation can you use to find s, the number of T-shirts Pam must sell for her sales to equal her expenses?


To find the number of T-shirts, $ s $, Pam must sell for her sales to equal her expenses, we need to consider two things:

1. **Expenses**: Pam has a fixed cost of $504 for the screen-printing tools and a variable cost of $4.50 per shirt. So, the total expenses after selling $ s $ shirts is:
   \[
   \text{Expenses} = 504 + 4.50s
   \]

2. **Sales**: Pam sells each shirt for $15, so her total revenue from selling $ s $ shirts is:
   \[
   \text{Sales} = 15s
   \]

To find the break-even point (where her sales equal her expenses), set the expenses equal to the sales:
\[
504 + 4.50s = 15s
\]

This is the equation you can use to find $ s $, the number of T-shirts Pam must sell to cover her expenses.

Would you like the detailed steps to solve this equation?

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**Related questions:**
1. How many shirts must Pam sell to break even?
2. If Pam sells 100 shirts, what is her total revenue and profit?
3. How much would Pam need to charge per shirt to break even after 30 sales?
4. What would the equation look like if the cost per shirt increased to $5?
5. If Pam increases her fixed costs by $100, how does this affect the break-even point?

**Tip**: Always keep track of fixed and variable costs separately when calculating profit and break-even points.

Pam recently started selling custom T-shirts online. She spent $504 on screen-printing tools, and she spends $4.50 per shirt on supplies. She is selling each shirt for $15. Which equation can you use to find s, the number of T-shirts Pam must sell for her sales to equal her expenses?

Learn how to calculate the break-even point for selling custom T-shirts. This problem involves setting up a linear equation to find the number of shirts Pam needs to sell to cover her expenses. Suitable for students in Grades 7-10, it covers concepts in algebra, fixed costs, variable costs, and revenue calculations.

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