Asalesperson makes a base salary of $2100 per month. once he reaches $42,000 in total sales, he earns an additional 5% commission on the amount in sales over $42,000.
(1) graph the function.
(2) if the salesperson had $80,000 in sales, how much was his salary?
(3) if the salesperson's total salary for a month was $4500, how much were his total sales for that month?
(4) compute s(25000) and interpret what this means in the context of the problem.

(1) Observe the attached image

(2)

(3)

(4)

Step-by-step explanation:

(1) Let's call S the salary for the month the seller wins.

Let's call x the amount of dollars reached by the sales of that month.

The seller earns a base salary of $ 2100 per month.

Then, if x> 42,000 he wins a commission of 5% on sales.

Then the equation modeling this situation is:

The graph of the function is shown in the attached image.

(2) If x = 80,000, then your salary was:

(3) If S was 4500 and we want to find x then we equal S to 4500 and solve for x.

(4) S (25000) means that x equals 25000. Since x represents sales, this means that during the month, the seller only reached $ 25,000.

Then

Therefore .

step-by-step explanation:

answers available in this download

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