SOLUTION: A car sales representative receives a commission that is the greater of $250 or 8% of the selling price of a car. What dollar amounts (x) in the sale price of a car will make the c

Question 1198933: A car sales representative receives a commission that is the greater of $250 or 8% of the selling price of a car. What dollar amounts (x) in the sale price of a car will make the commission offer more attractive than the $250 flat fee?
Answer by Theo(13342) (Show Source): You can put this solution on YOUR website!
x = sale price of a car.
sales rep can earn 250 or 8% of the sale price of the car.
the commission offer will be more attractive when .08 * x > 250
divide both sides of the inequality by .08 to get:
x > 250 / .08.
solve for x to get:
x > 3125.
if the price of the car is greater than 3125, the commission will be more attractive.
when the sale price of the car is equal to 3125, either option will be equally attractive.
when the sale price is less than 3125, the 250 will be more attractive.
examples:
sale price of car is 3000.
sales commission is.08 * 3000 = 240 which is less than 250.
sale price of car is 3125.
sales commission is .08 * 3125 = 250 which is the same as 250.
sale price of car is 3500.
sales commission is .08 * 3500 = 280 which is greater than 250.

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