Question

The salespeople at a local car dealership are paid a commission based on the profit earned from each car they sell. If the profit is less than $900, the salesperson gets 15% of the profit as commission. If the profit on the car is equal to or between $900 and $1,500, the salesperson gets 17% of the profit. Even better, if the profit on the car sold is more than $1,500, the salesperson gets 21% of the profit as commission.

Part A
Write a function that relates the commission earned by a salesperson, C(p), to the profit earned on the car, p.

Answer 1

We can write the function C(p) as follows:

C(p) =
- 0.15p, if p < 900
- 0.17p, if 900 ≤ p ≤ 1500
- 0.21p, if p > 1500

This function relates the commission earned by a salesperson, C(p), to the profit earned on the car, p. The commission depends on the profit earned, and the function takes into account the different commission rates depending on the profit earned on the car.