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

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Answer:

The salesperson earns $60 for every $200 profit.

profit         0    100  200 300  400 500 600 700

commission 0 0 60 60 120 120 180 180

Therefore, .  C(p) =60||[tex]\frac{x}{200}[/tex]||.

Step-by-step explanation:

A function that relates the commission earned to the profit on the car is $900 < p < $1,500

How to get the function

We have that that profit is less than 900,

The salesman has 0.15p that is 15 percent.

If the profit is between 900 and 1500, then the salesman would get 17%

Hence to represent this we would have the function that directly interprets the statement as

1. 0.15p =  p < $900

2. 0.17p = $900 < p < $1,500

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