Question

Can you help me? tysm

A sales person makes a base salary of $200 per week plus 11% commission on sales.
(a) Write a linear function to model the sales person's weekly salary S(x) for x dollars in sales.
(b) Evaluate S(9000) and interpret the meaning in the context of this problem.

Answer 1

Answers in bold

• a. 0.11x+200
• b. S(9000) = 1190; interpretation = Making $9000 in sales means the salesperson earns a weekly salary of $1190

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Work shown for part (a)

x = amount in sales, in dollars

Example: if x = 200 then the amount of sales was $200

0.11x = commission amount

0.11x+200 = total weekly salary

S(x) = 0.11x+200 is the salary function.

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Work shown for part (b)

S(x) = 0.11x+200

S(9000) = 0.11*9000+200

S(9000) = 990+200

S(9000) = 1190

The input x = 9000 leads to the output S(x) = 1190

Interpretation: $9000 in sales means the salesperson earns a weekly salary of $1190