ay makes a base salary of $2,500 per month. Once he reaches $48,000 in total sales, he earns an additional 3% commission (salary) on the amount of sales over $48,000. Let x be the amount of his total sales for the month and s(x) be the amount of his salary for the month. If Jay's total sales for the month is $60,000, find his salary for the month. If Jay's total salary for a month was $3,300, how much were his total sales for that month?

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### Salesperson Salary Calculation

Jay makes a base salary of $2,500 per month. Once he reaches $48,000 in total sales, he earns an additional 3% commission (salary) on the amount of sales over $48,000. Let \( x \) be the amount of his total sales for the month and \( s(x) \) be the amount of his salary for the month.

#### Example Problems:

1. **If Jay’s total sales for the month is $60,000, find his salary for the month.**
2. **If Jay’s total salary for a month was $3,300, how much were his total sales for that month?**

To compute the salary based on the total sales, follow these steps:

1. **Base Salary:**
   - Jay always earns a base salary of $2,500 per month regardless of his total sales.

2. **Commission Calculation:**
   - If Jay sells more than $48,000, he earns a commission of 3% on the amount exceeding $48,000.
   - To find the commission:
     \[
     \text{Commission} = 0.03 \times (x - 48,000)
     \]

3. **Total Salary Calculation:**
   - The total salary \( s(x) \) is the sum of the base salary and the earned commission.
     \[
     s(x) = 2,500 + \text{Commission}
     \]

#### Example Calculations:

1. **Total Sales of $60,000:**
   - Base Salary: $2,500
   - Sales Exceeding $48,000: $60,000 - $48,000 = $12,000
   - Commission: 0.03 × $12,000 = $360
   - Total Salary: $2,500 + $360 = $2,860

   Thus, if Jay’s total sales for the month is $60,000, his salary for the month is $2,860.

2. **Total Salary of $3,300:**
   - First, determine the amount made from commission:
     \[
     3,300 = 2,500 + \text{Commission}
     \]
     \[
     \text{Commission} = 3,300 - 2,500 = 800
     \]
   - Next, calculate the sales exceeding
Transcribed Image Text:### Salesperson Salary Calculation Jay makes a base salary of $2,500 per month. Once he reaches $48,000 in total sales, he earns an additional 3% commission (salary) on the amount of sales over $48,000. Let \( x \) be the amount of his total sales for the month and \( s(x) \) be the amount of his salary for the month. #### Example Problems: 1. **If Jay’s total sales for the month is $60,000, find his salary for the month.** 2. **If Jay’s total salary for a month was $3,300, how much were his total sales for that month?** To compute the salary based on the total sales, follow these steps: 1. **Base Salary:** - Jay always earns a base salary of $2,500 per month regardless of his total sales. 2. **Commission Calculation:** - If Jay sells more than $48,000, he earns a commission of 3% on the amount exceeding $48,000. - To find the commission: \[ \text{Commission} = 0.03 \times (x - 48,000) \] 3. **Total Salary Calculation:** - The total salary \( s(x) \) is the sum of the base salary and the earned commission. \[ s(x) = 2,500 + \text{Commission} \] #### Example Calculations: 1. **Total Sales of $60,000:** - Base Salary: $2,500 - Sales Exceeding $48,000: $60,000 - $48,000 = $12,000 - Commission: 0.03 × $12,000 = $360 - Total Salary: $2,500 + $360 = $2,860 Thus, if Jay’s total sales for the month is $60,000, his salary for the month is $2,860. 2. **Total Salary of $3,300:** - First, determine the amount made from commission: \[ 3,300 = 2,500 + \text{Commission} \] \[ \text{Commission} = 3,300 - 2,500 = 800 \] - Next, calculate the sales exceeding
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