Liam owns a craft booth where he makes 
$
25
 for each item he sells. He had to pay 
$
200
 as a rental fee to set up his booth.

Let 
c
 represent the number of crafts he sells daily, and 
m
 represent the total amount he earns after a certain number of days. Write an equation to represent the situation.

We can represent the situation with a linear equation. Here's how to approach it:

- **$c$** is the number of crafts Liam sells daily.
- Liam makes **$25** for each craft sold, so his earnings for one day are **$25c**.
- However, he has a fixed rental cost of **$200** to set up his booth. This cost will affect his total earnings.

If **$m$** is the total amount Liam earns after selling a certain number of crafts, the equation should reflect both his earnings from selling crafts and the initial cost. Thus, we subtract the rental fee from the total earnings. 

The equation can be written as:

\[
m = 25c - 200
\]

This equation means Liam earns **$25** per craft sold, but his total earnings are reduced by the **$200** rental fee.

Would you like more details, or do you have any questions?

Here are some related questions to expand your understanding:
1. If Liam sells 15 crafts in a day, how much total profit does he make?
2. How many crafts must Liam sell to break even?
3. If Liam wants to earn $500 after the rental cost, how many crafts must he sell?
4. What happens to Liam's earnings if the rental fee increases by $50?
5. How would the equation change if the rental fee was waived entirely?

**Tip**: To solve for break-even points in linear equations, set the total earnings to zero and solve for the variable representing the number of items sold.

Liam owns a craft booth where he makes $25 for each item he sells. He had to pay $200 as a rental fee to set up his booth. Let c represent the number of crafts he sells daily, and m represent the total amount he earns after a certain number of days. Write an equation to represent the situation.

Learn how to create and solve a linear equation to represent Liam's craft booth earnings. He earns $25 per craft sold, but must deduct a $200 rental fee. This problem is suitable for students in Grades 6-8, covering algebraic concepts and linear equations.

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