Question 763747

You are applying to be a salesperson for a local used car company.  You have a choice to make that may greatly affect your income.  You may choose a base salary of $25,000 per year plus a commission of 10% on sales that you make, or you may choose a base salary of $35,000 per year plus 7.5% commission on all sales you make.

a)	Letting x = the number of dollars in sales that you may make, and y1 = and y2 = the first and second annual earnings options, respectively, write two equations (a system) as described by the options given above.

I can't come up with anything that makes sense!!! Please Help


1st option: x = sales amount, and commission = 10% of sales, or 10% of x, or .1x
Total earnings if 1st option is chosen: {{{y[1] = .1x + 25000}}}


2nd option: x = sales amount, and commission = 7.5% of sales, or 7.5% of x, or .075x
Total earnings if 2nd option is chosen: {{{y[2] = .075x + 35000}}}