Question

If a salesperson sells a car at a profit of $1,000, how much will the commission be? If the car is sold for a $1,500 profit, what will the commission be?

Answer 1

The graph (or piecewise function) shows that for a profit of $1,000 the salesperson will earn a commission of 17%:

C(p) = 0.17 p

C(1,000) = 0.17 (1,000)

C(1,000) = 170

Therefore, the salesperson will earn $170 as commission on a profit of $1,000.

If the car sells for a profit of $1,500, the commission will still be 17%. This commission is governed by the second equation because the third equation (21%) does not include the endpoint 1,500. So:

C(p) = 0.17 p

C(1,500) = 0.17 (1,500)

C(1,500) = 255

The salesperson will earn $255 as commission on a profit of $1,500.

Explanation:

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