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:

an advantage of the standard deviation is that it increases as the dispersion of the data increases. e. the interquartile range is preferred when the data are not skewed or no have outliers. an advantage of the standard deviation is that it uses all the observations in its computation.

9 sandwiches per hour

step-by-step explanation:

when we have a rate, we want a 1 in the denominator

27/3 = 9

27 sandwiches/ 3 hours = 9 sandwiches/hour