Final answer:
The better deal on a $10.99 item between 30% off or buy one, get one at half price when buying two items depends on the quantity. For one item, 30% off results in a lower price than half off the second item. For two items, buy one, get one at half price is effectively cheaper per item.
Step-by-step explanation:
When deciding which is a better deal on a $10.99 item between getting 30% off the item's price or a buy one, get one at half price deal when purchasing two items, we must calculate the total cost for each option.
For the 30% off deal:
30% of $10.99 is $10.99 × 0.30 = $3.297. So, 30% off of $10.99 makes the item cost $10.99 - $3.297 = $7.693.
For the buy one, get one at half price deal:
The first item is $10.99, and the second item at half price is $10.99 × 0.5 = $5.495. So, the total cost for two items is $10.99 + $5.495 = $16.485.
When you divide the total cost of the buy one, get one at half price deal by two items, you get $16.485 ÷ 2 = $8.2425 per item, which is more expensive than the 30% off single item price of $7.693.
Therefore, the better deal is the 30% off a single item if you are buying only one item. However, if you are purchasing two items, the buy one, get one at half price is a better deal, as the effective price per item would be lower than two items at 30% off each.