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The document you've uploaded is titled **"PAR #4 - Earning Commissions"** and includes several tasks related to calculating commissions for employees based on their sales.

Here’s a breakdown of the tasks:

### Task 1: Complete the table
You are asked to complete the table with yearly salary based on the sales figures provided. The base salary is $25,000, and employees earn an 8% commission on sales exceeding $2,000.

The sales values in the table are:
- 0
- 1,500
- 2,000
- 5,000
- 10,000
- 50,000
- 100,000

**For the first two rows (sales ≤ $2,000)**, the salary remains at the base salary of $25,000.  
**For sales greater than $2,000**, you will add 8% of the sales amount exceeding $2,000 to the base salary.

---

### Task 2: Algebraic model for sales ≤ $2,000
When sales are less than or equal to $2,000, the salary $ S $ will simply be the base salary:
\[
S = 25,000
\]

---

### Task 3: Algebraic model for sales over $2,000
When sales exceed $2,000, the employee earns an 8% commission on the amount over $2,000. Let $ x $ represent the total sales price. The salary $ S $ can be expressed as:
\[
S = 25,000 + 0.08(x - 2,000)
\]

---

### Task 4: Graphical model
You are asked to sketch a graph of salary $ S $ versus sales $ x $. This will be a piecewise linear graph:
- A flat line at $25,000 for sales up to $2,000.
- A line with a positive slope after $2,000, indicating the 8% commission on sales beyond that point.

---

### Task 5: Sales needed for $40,000 salary
You need to find the sales amount required to earn a total salary of $40,000. You can use the equation from Task 3:
\[
40,000 = 25,000 + 0.08(x - 2,000)
\]
Solve for $ x $.

---

Would you like me to complete the table for Task 1 or solve any other part? 

Here are five related questions you could explore further:
1. How would the commission structure change if the base salary were increased to $30,000?
2. What would happen if the commission rate increased to 10% for sales over $10,000?
3. How much commission would an employee earn on sales of $75,000?
4. What would the graph of salary versus sales look like for a different commission rate?
5. How does the total compensation change with each $10,000 increase in sales?

**Tip**: When solving piecewise equations, always pay attention to where different conditions apply (e.g., base salary for lower sales and commissions for higher sales).

Calculate the yearly salary of employees based on their sales, which includes a base salary and a commission for sales beyond a certain amount.

Learn how to calculate employee salaries including a base salary and a commission on sales exceeding a specific amount. This example uses a base salary of $25,000 with an 8% commission on sales over $2,000.

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