Commission of sales in piece wide function

Question

You're pursuing a career in sales, and your commission earned is determined by the following information: If you earn less than $500 in sales, then your commission is 25% of your total sales. If you earn between $500 and $700 in sales, then you will earn $70 plus 35% of all of your total sales over $500. Finally, if you earn more than $700 in sales, then you will earn $100 plus 55% of all of your total sales over $700. Express your commission C as afunction of sales, x. Your function should be expressed as a Piece-Wise Defined function. Keep that concept in mind. What would be your commission if your sales are $560?

Answer 1

x= your sales

If you earn less than $500 in sales, then your commission is 25% of your total sales.

So C(x) = ,25x, x<500

If you earn between $500 and $700 in sales, then you will earn $70 plus 35% of all of your total sales over $500

C(x) = 70 + .35(x-500), 500< x <700

If you earn more than $700 in sales, then you will earn $100 plus 55% of all of your total sales over $700

C(x) = 100 + .55(x-700), x>700

What was the trouble you had doing this?