Final answer:
After calculating 6% of the $360 membership fee, which is $21.60, the gym retains $338.40 from the sale of each annual membership after the commission is paid out.
Step-by-step explanation:
The question asks us to calculate how much the gym keeps after paying out the commission for a $360 annual membership when the representative earns a 6% commission. To find out the commission amount, we need to calculate 6% of $360. This is done by multiplying $360 by 0.06 (which is the decimal equivalent of 6%).
The commission amount is $360 * 0.06 = $21.60.
To find out how much the gym keeps, we subtract the commission from the total cost of the membership:
$360 - $21.60 = $338.40
Therefore, after paying out the commission, the gym keeps $338.40 from the sale of an annual membership.