Question

Jasper Hall sells farm chemicas. He is paid a commission of 9% of his first $6,000 in sales during the month and 14% on all sales over $6,000. What is his commission in a month in which he has sales w

Answer 1

Jasper Hall's commission is calculated at 9% for the first $6,000 and 14% for the amount over $6,000. If total sales 'w' is greater than $6,000, the total commission is $540 plus 14% of the sales exceeding $6,000.

Step-by-step explanation:

To calculate Jasper Hall's commission for the month, we'll take into account two different commission rates: a 9% commission rate for the first $6,000 in sales and a 14% commission rate for any amount over $6,000.

If Jasper's total monthly sales are 'w' dollars, we need to consider two scenarios:

1. If 'w' is less than or equal to $6,000, then his commission is simply 9% of 'w'.
2. If 'w' is greater than $6,000, he gets 9% of the first $6,000, and then 14% of the amount that exceeds $6,000.

Let's assume 'w' is greater than $6,000:

The commission for the first $6,000 would be:
9% of $6,000 = 0.09 * $6,000 = $540

The commission for the amount over $6,000 would be:
14% of (w - $6,000) = 0.14 * (w - $6,000)

Thus, Jasper's total commission would be the sum of the two parts:

Total Commission = $540 + 0.14 * (w - $6,000)