Asalesperson makes a base salary of $2000 a month. once he reaches $40,000 in total sales, he earns an additional 5% commission on the amount in sales over $40,000. write a piecewise-defined function to model the salesperson's total monthly salary (in $) as a function

The piecewise-defined function to model the salesperson's total monthly salary (in $) is,

Step-by-step explanation:

It is given that the salesperson makes a base salary of $2000 a month. Once he reaches $40,000 in total sales, he earns an additional 5% commission on the amount in sales over $40,000.

Let the x represents the amount of sales and f(x) represents the salary of salesperson.

It means till the sale of $40,000, the salary of the salesperson is constant, i.e., $2000.

   for  

He will get commision of 5% on the amount in sales over $40,000.

 for  

Therefore the piecewise-defined function to model the salesperson's total monthly salary (in $) is,

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