Question

A car salesperson earns 2% on used car sales and 6% on new car sales. The salesperson wants to earn a $7000 commission this month. Write a model that shows the different sales amounts of used and new cars that can be sold to reach the target commission.

Answer 1

`\\ \rm{:}\twoheadrightarrow 2\%=(2)/(100)=0.02`

`\\ \rm{:}\twoheadrightarrow 6\%=(6)/(100)=0.06`

Let Commison on used cars be p and on new cars be q .

• Commission on used cars=0.02p
• Commission on new cars=0.06q

Model:-

`\\ \rm{:}\twoheadrightarrow 0.02p+0.06q=7000`

Answer 2

Let the sales of used cars - x, new cars - y.

• Commission on used cars = 0.02x
• Commission on new cars = 0.06y

The model would be:

• 0.02x + 0.06y = 7000