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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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