Question

Paul works for a company that deals in paints and dyes. He is paid a fixed monthly salary plus 15 percent commission on monthly sales over $20,000. If Paul manages to achieve total monthly sales of $x, which is over $20,000, the function f(x) representing Paul's monthly sales over $20,000 is given by . If x is the sales amount over $20,000, the function g(x) giving Paul's commission is . The function g(f(x)) representing Paul's commission on monthly sales above $20,000, where x is Paul's total monthly sales amount, is given by . If Paul's sales in a particular month are $27,500, his commission for the month is $

Answer 1

Since x dollars is the total monthly sales Paul makes when his sales exceed 20,000 dollars, then the function f(x) should add x dollars and $20,000. The answer is B. x+20,000.

Assuming that x dollars is still the sales after gaining $20,000, then 15 percent of x is modeled by B. 0.15x.