To determine how much Charlotte would make in a week, we need to calculate her total earnings, which consist of two components:

1. Base salary: $500 per week.
2. Commission: 30% of her total sales.

Step 1: Calculate the commission

Given that Charlotte made $1575 in sales for the week, the commission she earns would be:

$\text{Commission} = 30\% \times 1575 = 0.30 \times 1575 = 472.50$

Step 2: Total earnings

Now, to find her total earnings for the week, we add her base salary to her commission:

$\text{Total earnings} = 500 + 472.50 = 972.50$

Final Answer:

Charlotte would make $972.50 in a week in which she made $1575 in sales.

General Formula for Any Sales Amount:

If Charlotte makes xx dollars in sales, her total earnings would be calculated as:

$\text{Total earnings} = 500 + (0.30 \times \text{xx})$

So, if she makes xx dollars in sales, you just substitute xx into the formula to find her total earnings.

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Would you like to see more examples or go over any part of the explanation? Here are some related questions for you:

1. How does the commission affect Charlotte's total income each week?
2. What happens to Charlotte's earnings if she makes $2000 in sales?
3. If Charlotte’s base salary increased to $600, how would her total earnings change?
4. How would Charlotte's total earnings change if her commission rate increased to 40%?
5. How much would Charlotte make in a week where her sales were $1000?

Tip: Always break down the problem into parts: base salary, commission, and then the total earnings. This simplifies the calculation process.