Charlotte works in a department store selling clothing. She makes a guaranteed salary of $500 per week, but is paid a commission on top of her base salary equal to 30% of her total sales for the week. How much would Charlotte make in a week in which she made $1575 in sales? How much would Charlotte make in a week if she made x dollars in sales?

To find out how much Charlotte would make in a week in which she made $1575 in sales, we need to calculate her commission and add it to her guaranteed salary.

First, we calculate Charlotte's commission:

Commission = 30% of $1575 = 0.30 * $1575 = $472.50

Next, we add Charlotte's commission to her guaranteed salary:

Total pay = $500 + $472.50 = $972.50

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

To find out how much Charlotte would make in a week if she made x dollars in sales, we can use the same formula as above:

Commission = 30% of x = 0.30x

Total pay = Guaranteed salary + Commission = $500 + 0.30x

So if Charlotte made $2000 in sales, her total pay would be:

Total pay = $500 + 0.30 * $2000 = $1100

And if Charlotte made $3000 in sales, her total pay would be:

Total pay = $500 + 0.30 * $3000 = $1400

So her total pay would increase as her sales increase.