Paul is a salesperson who earns both a salary and a commission on units sold. In one week, he sold 25 units and earned $1,200. In another week, he sold 20 units and earned $1,075. Which of the following slope-intercept form equations models Paul’s weekly pay in terms of units sold?
B. y = 25x + 1,200
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The salary is a one-time fixed amount. In this case it's unknown; let's call it s.
The commission is paid out per unit sold. Let's call it c.
If he sells 25 units, he makes 25c dollars in comminssion plus the fixed s dollars.
In one week he earned $1200, so
25c + s = 1200
The other week, he sold 20 units earning 20c commission and earning a total salary of $1075, so
20c + s = 1075.
25c + s = 1200
20c + s = 1075
If you solve this system of equations, you will know how much his fixed salary is and how much his commission is. Then you can write a function to find his weekly salary and comapre with the choices.