A salesperson gets a commission of $800 for the first $10,000 of sales, and then $400 for each additional $10,000 or partial of sales. Let S(x) represent the commission on x dollars of sales. Find the value of S(95,000).
A) $4200
B) $4400
C) $4600
D) $3800

Question

Quizplus · Accepted Answer

For the first $10,000 of sales, the salesperson gets $800. For the remaining $85,000 ($95,000 - $10,000), since the salesperson gets $400 for each additional $10,000 or part thereof, we divide $85,000 by $10,000, which gives us 8.5. Since the commission is paid for partial $10,000 as well, we consider this as 9 additional parts. Therefore, the salesperson gets $400 * 9 = $3600 for the additional sales. Adding the initial $800, the total commission is $800 + $3600 = $4400.

A Salesperson Gets a Commission of $800 for the First