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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...

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. 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 for that month?

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

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