Which store offers the better incentive if Katelyn wants to buy two pairs of shoes with a regular price of $45 each? Find the difference in the discount amounts between the two stores. Shoe Land BOGO Event: Buy 1, Get 2nd Pair 50% Off Everything Shoe: 30% Off Any Pair of Shoes $35 or More (1 point) Responses Everything Shoe offers a better incentive, and the difference in the discount amounts is $27. Everything Shoe offers a better incentive, and the difference in the discount amounts is $27. Everything Shoe offers a better incentive, and the difference in the discount amounts is $4.50. Everything Shoe offers a better incentive, and the difference in the discount amounts is $4.50. Shoe Land offers a better incentive, and the difference in the discount amounts is $4.50. Shoe Land offers a better incentive, and the difference in the discount amounts is $4.50. Shoe Land offers a better incentive, and the difference in the discount amounts is $22.50.

Answer 1

Let's calculate the total cost for Katelyn at both stores.

Shoe Land (BOGO Event: Buy 1, Get 2nd Pair 50% Off)

1. Price of the first pair: $45
2. Price of the second pair (50% off):
   • 50% of $45 = $22.50
3. Total cost: \[ $45 + $22.50 = $67.50 \]
4. Total discount (regular price for two pairs: $90): \[ $90 - $67.50 = $22.50 \]

Everything Shoe (30% Off Any Pair of Shoes $35 or More)

1. Discount on each pair:
   • 30% of $45 = \(0.30 \times 45 = 13.50\)
2. Price after discount for each pair: \[ 45 - 13.50 = $31.50 \]
3. Total cost for two pairs: \[ $31.50 + $31.50 = $63 \]
4. Total discount (regular price for two pairs: $90): \[ $90 - $63 = $27 \]

Comparing Discounts

• Shoe Land discount = $22.50
• Everything Shoe discount = $27

Therefore, Everything Shoe offers a better incentive, and the difference in the discount amounts between the two stores is: \[ 27 - 22.50 = 4.50 \]

Thus, the correct response is: Everything Shoe offers a better incentive, and the difference in the discount amounts is $4.50.