SOLUTION: 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

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
Found 2 solutions by MathTherapy, KMST:
Answer by MathTherapy(10553) (Show Source): You can put this solution on YOUR website!

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:

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:

Answer by KMST(5328) (Show Source): You can put this solution on YOUR website!
For the first option you would get $25,000 plus 0.10 (10%) times the amount of your sales, so

For the second option you would get $35,000 plus 0.075 (7.5%) times the amount of your sales, so

The amount of sales, and income at the point that would make both options equivalent is the solution to
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