Luis was hired to sell cars. He must choose a commission plan for his payment. He can choose Plan A or Plan B. For Plan A Lee gets a base salary of 24,000€ a year plus a 1,020€ commission for each car he sells. In Plan B Lee gets a base salary of 27,000€ a year plus a 900€ commission for each car he sells.Use a system of equations to model Luis' situation and choose the best response below.Group of answer choicesIf Luis sells exactly 18 cars, he earns the exact same amount of money with either plan.If Luis sells 26 cars, he earns 44,092€ with Plan B.If Luis sells 26 or more cars, Plan B is a better plan because he earns more money in one year.If Luis sells 26 or more cars, Plan A is a better plan because he earns more money in one year.If Luis sells 26 cars, he earns 44,408€ with Plan A.
Question
Luis was hired to sell cars. He must choose a commission plan for his payment. He can choose Plan A or Plan B. For Plan A Lee gets a base salary of 24,000€ a year plus a 1,020€ commission for each car he sells. In Plan B Lee gets a base salary of 27,000€ a year plus a 900€ commission for each car he sells.Use a system of equations to model Luis' situation and choose the best response below.Group of answer choicesIf Luis sells exactly 18 cars, he earns the exact same amount of money with either plan.If Luis sells 26 cars, he earns 44,092€ with Plan B.If Luis sells 26 or more cars, Plan B is a better plan because he earns more money in one year.If Luis sells 26 or more cars, Plan A is a better plan because he earns more money in one year.If Luis sells 26 cars, he earns 44,408€ with Plan A.
Solution
Let's denote the number of cars Luis sells as x.
For Plan A, the equation would be: 24,000€ + 1,020€x = y
For Plan B, the equation would be: 27,000€ + 900€x = y
Now, let's substitute x with the number of cars sold in each scenario:
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If Luis sells exactly 18 cars: Plan A: 24,000€ + 1,020€*18 = 42,360€ Plan B: 27,000€ + 900€*18 = 43,200€ So, the first statement is incorrect.
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If Luis sells 26 cars: Plan A: 24,000€ + 1,020€*26 = 50,520€ Plan B: 27,000€ + 900€*26 = 50,400€ So, the second and fifth statements are incorrect.
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If Luis sells 26 or more cars: We can see from the above calculations that if Luis sells 26 cars, he earns more with Plan A. So, the third statement is incorrect.
Therefore, the correct answer is: "If Luis sells 26 or more cars, Plan A is a better plan because he earns more money in one year."
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