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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 ).

Respuesta :

Answer:

S(55,000) = $ 1300

Step-by-step explanation:

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

[tex]S(x) = 400 + 200( \frac{x-10000}{10000} )[/tex]

To find Commission at x=55000

[tex]S(50000) = 400 + 200( \frac{50000-10000}{10000} )[/tex]

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

               = 400 + 900

S(55,000)= $ 1300