Question

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.

For each salesman, write an equation showing the relationship between their weekly paycheck amount, p, and the number of sales, s, they had that week.
Graph the three equations you just wrote for each salesman if they have between 0 and 20 sales in a week. Graph all three equations on the same graph . Make sure you label each line with the salesman it represents, as well as label the axes. Note: The independent variable is s, and the dependent variable is p.

Answer 1

Answer:

Step-by-step explanation:

For this, we let x be the number of items that each salesman sold and y be the total salary (summing up the base, commission, etc).

             Salesman A: y 65x + 1300

             Salesman B: y = 40x + 300 + C

             Salesman C: y = 900

none of them are proportional. proportional would mean that they would earn 10 times as much if they sold 10 times as much.  

A = 65 s maximum of 1300  

B = 300 + 40 s  

C = 900