Q:

Three salesmen work for the same company, selling the same product. And, although they are all paid on a weekly basis, each salesman earns his paycheck differently. Salesman A works strictly on commission. He earns $65 per sale, with a maximum weekly commission of $1,300. Salesman B earns a weekly base salary of $300, plus a commission of $40 per sale. There are no limits on the amount of commission he can earn. Salesman C does not earn any commission. His weekly salary is $900. The weekly paycheck amount for each salesman, p, is a function of the number of sales, s, they had in that week. Is the function representing the weekly paycheck amount of Salesman A a proportional relationship? Use complete sentences to explain your reasoning. Is the function representing the weekly paycheck amount of Salesman B a proportional relationship? Use complete sentences to explain your reasoning. Is the function representing the weekly paycheck amount of Salesman C a proportional relationship? Use complete sentences to explain your reasoning.

Accepted Solution

A:
Answer:12 salesStep-by-step explanation:Let x represent the number of sales each man had.For Salesman A, he earns $65 per sale; this is 65x.For Salesman B, he earns $40 per sale; this is 40x.  We also add to this his weekly salary of $300; this gives us 40x+300.Since their pay was equal, set the two expressions equal:65x = 40x+300Subtract 40x from each side:65x-40x = 40x+300-40x25x = 300Divide both sides by 25:25x/25 = 300/25x = 12