Donavan is a salesperson at a car dealership. last month he sold 11 cars and earned 6300 in base pay and commissions. this month he sold 24 cars and earned 12800 in base salary and commissions.

Question

Write an equation to find the amount Donavan earns in commission (y) for selling x cars. Slope intercept form please

Answer 1

He gets ax commission for selling x cars where a is a constant. His basic pay is p so he earns y=ax+p.

Now we put in x=11 and y=6300: 6300=11a+p;

and we put in x=24 and y=12800: 12800=24a+p.

Subtract the first equation from the second: 6500=13a, so a=6500/13=500.

So 6300=5500+p, making p=800. Therefore y=500x+800.