Asalesperson 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. write and graph the piecewise-defined function to represent the salary.

The piece-wise modeled function to represents the salary(in $) is:

Step-by-step explanation:

Given the statement: 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.

Let x represents the amount of sales and

f(x) represents the salary of salesperson.

From the given statement this implies that till the sale of $40,000, the salary of a salesperson is remains constant i.e $2000

f(x) =2000    when

Now, a salesperson earns an additional of 5% on the amount in sales over $40,000 i.e,

 when

or

 when

therefore, the piece-wise defined function to represents the salary is:

You can see the graph as shown below in the attachment:

2

step-by-step explanation:

1+1=2

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