ebecka is a corporate account manager at a company that sells computers to other businesses. She receives a monthly salary of $1,900 plus a commission of 1.80% on any new sales that she makes as part of her daily interactions with her customers. If Rebecka earned $3,268 this month, what is her sales?
For full marks your answer(s) should be rounded to the nearest cent.


Sales = $0.00 


To determine Rebecka's sales for the month, we need to set up an equation based on the given information.

1. Rebecka's total earnings for the month are $3,268.
2. Her monthly salary is $1,900.
3. Her commission rate is 1.80%.

First, we subtract her monthly salary from her total earnings to find out how much she earned from commissions:

\[ \text{Commission Earnings} = \text{Total Earnings} - \text{Salary} \]
\[ \text{Commission Earnings} = 3268 - 1900 \]
\[ \text{Commission Earnings} = 1368 \]

Next, we use the commission rate to determine her total sales for the month. Let $ S $ represent her total sales. The commission earnings formula is:

\[ \text{Commission Earnings} = \text{Commission Rate} \times \text{Sales} \]

So we have:

\[ 1368 = 0.018 \times S \]

To find $ S $, we divide both sides of the equation by the commission rate:

\[ S = \frac{1368}{0.018} \]

Now, we calculate the result:

\[ S = \frac{1368}{0.018} = 76000 \]

So, Rebecka's sales for the month are:

\[ \text{Sales} = \$76,000.00 \]

Therefore, Rebecka's sales for the month are $76,000.00.

Would you like more details or have any questions? Here are some related questions to expand your understanding:

1. What would Rebecka's earnings be if her sales were $50,000?
2. How much commission does Rebecka earn on $100,000 in sales?
3. If Rebecka's salary increased to $2,100, how would her total earnings change with the same sales?
4. What would be Rebecka's total earnings if her commission rate was increased to 2%?
5. If Rebecka had no sales in a month, what would her total earnings be?
6. How would a change in the commission rate to 1.5% affect Rebecka's total earnings with $76,000 in sales?
7. What percentage of her total earnings is her commission if her sales are $76,000?
8. How many months of $76,000 sales would Rebecka need to save $10,000?

**Tip:** Understanding how to set up and solve equations based on real-world scenarios is crucial for applying mathematical concepts effectively.

Learn how to calculate Rebecka's sales and commission earned based on her salary, total earnings, and commission rate. This problem involves solving equations with percentages and understanding commission calculations. Discover how Rebecka earned $3,268 this month with detailed step-by-step solutions.

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