Question

A salesperson gets a commission of ​$400 for the first​ $10,000 of​ sales, and then ​$200 for each additional​ $10,000 or partial of sales. Let​ S(x) represent the commission on x dollars of sales. Find the value of Upper S (55 comma 000 ).

Answer 1

S(55,000) = $ 1300

Explanation:

To make equation for Sales commission(S) in terms of sales(x):

`S(x) = 400 + 200( (x-10000)/(10000) )`

To find Commission at x=55000

`S(50000) = 400 + 200( (50000-10000)/(10000) )`

S(55,000) = 400 + 200(4.5)

= 400 + 900

S(55,000)= $ 1300