Alex earns a weekly base salary of $650 as a car salesman. He also earns a 9% commission on his monthly sales after the first $10,000. What was his total salary this month if he sold 7 cars whose average price was $4,500 each?

To calculate Alex's total salary for the month, we need to determine both his base salary and his commission.

### Step 1: Calculate Monthly Sales
Alex sold 7 cars with an average price of $4,500 each:
\[
\text{Total Sales} = 7 \times 4500 = 31,500 \text{ dollars}
\]

### Step 2: Calculate Commissionable Sales
Alex earns a 9% commission on his sales after the first $10,000:
\[
\text{Commissionable Sales} = 31,500 - 10,000 = 21,500 \text{ dollars}
\]

### Step 3: Calculate Commission Earned
Now, calculate the commission based on the commissionable sales:
\[
\text{Commission} = 0.09 \times 21,500 = 1,935 \text{ dollars}
\]

### Step 4: Calculate Base Salary
Alex earns a weekly base salary of $650. Assuming there are 4 weeks in a month:
\[
\text{Monthly Base Salary} = 4 \times 650 = 2,600 \text{ dollars}
\]

### Step 5: Calculate Total Monthly Salary
Finally, add the base salary and the commission to find the total monthly salary:
\[
\text{Total Monthly Salary} = 2,600 + 1,935 = 4,535 \text{ dollars}
\]

**Alex's total salary for the month is $4,535.**

Would you like further details or have any questions about this calculation? 

Here are 5 related questions to explore further:
1. How would the total salary change if the commission rate increased to 12%?
2. What would be Alex's total salary if he sold only 5 cars at an average price of $5,000 each?
3. How would the monthly base salary impact change if Alex worked only 3 weeks in a month?
4. What would be the effect on Alex’s commission if the first $15,000 were excluded from commissionable sales?
5. How would the total salary differ if the average price of cars sold was $3,500 instead of $4,500?

**Tip:** Always separate fixed and variable components of a salary to better understand how different factors affect total earnings.

Learn how to calculate Alex's total monthly salary as a car salesman, including his base salary and commission. This problem involves arithmetic and percentage calculations based on car sales data. Suitable for high school students and anyone interested in understanding salary calculations in sales roles.

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