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3) A salesperson makes a base salary of $2000 per month. Once he reaches $40,000 in total sales, he earns an additional 5% commission on the amount...


3) A salesperson makes a base salary of $2000 per month. Once he reaches $40,000 in total sales, he earns an additional 5% commission on the amount in sales over $40,000


A. write piecewise-defined function to model the salesperson's total monthly salary S(x) (in $) as a function of the amount in sales x.



B. Graph the function



C. Suppose the salesperson sold $95,000 worth of merchandise, what was his salary for that month?



D. Suppose the salesperson's total salary for a month was $4,800, what was his total sales that month?



E. Find S(25000) and interpret what it means in the context of the problem

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