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The question in the image is asking to compare two sales job offers, and to determine how much one needs to sell for one offer to be as good or better than the other. Let's break down the problem:

- **Job 1 (The Furniture Barn)**: Offers a straight commission of 6% of the sales.
- **Job 2 (The Furniture Warehouse)**: Offers a base salary of $220 per week plus 2% commission on sales.

### Objective:
We want to find out how much sales you need to make for the first job to pay at least as well as the second job.

### Let $ x $ be the weekly sales amount (in dollars). 

- For **The Furniture Barn**, the earnings would be $ 0.06x $ (6% of sales).
- For **The Furniture Warehouse**, the earnings would be $ 220 + 0.02x $ (a base salary of $220 plus 2% of sales).

### Set up the inequality:
We want the earnings from The Furniture Barn to be **at least equal** to the earnings from The Furniture Warehouse:
\[
0.06x \geq 220 + 0.02x
\]

### Solving the inequality:
\[
0.06x - 0.02x \geq 220
\]
\[
0.04x \geq 220
\]
\[
x \geq \frac{220}{0.04}
\]
\[
x \geq 5500
\]

Thus, you would need to sell at least **$5,500** in a week for The Furniture Barn job to pay better than The Furniture Warehouse job.

Would you like a further breakdown of the steps or have any other questions?

Here are some related questions you might find helpful:
1. How do linear equations help compare job salaries in commission-based roles?
2. How does the percentage of commission affect the earnings in sales jobs?
3. How can inequalities be used to compare different salary structures?
4. What is the impact of base salary on total earnings in sales jobs?
5. How can similar systems of linear equations apply to real-world finance problems?

**Tip**: Whenever you're comparing two options with different fixed and variable components, setting up an equation or inequality is an excellent way to visualize the trade-offs.

You are offered two different furniture sales jobs. The Furniture Barn offers you a job that pays straight commission of 6% of the sales. The Furniture Warehouse offers you a job that pays a salary of $220 per week plus 2% of the sales. How much would you have to sell in a week in order for the job at The Furniture Barn to pay as well or better than the job at The Furniture Warehouse? Round the answer to the nearest cent.

Learn how to compare two sales job offers using linear inequalities. Solve the inequality to determine how much you need to sell for The Furniture Barn job to pay as well as The Furniture Warehouse job. Includes step-by-step calculations and the use of linear algebra concepts. Suitable for Grades 8-10.

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