Nathan wants to buy a sweatshirt and is trying to determine the better buy. he has a 30% coupon for the in-store purchase. the store charges $36 for the sweatshirt he wants. however, he found the same sweatshirt online for $32 and gets 25% off as a first-time buyer. there are no shipping charges. which is the better buy? by how much? use the polya problem solving method to solve this problem.

Buy in-store.

Explanation:

The Polya technique suggests the following steps to solve a problem:

Step 1: Understand the problem.

Nathan is facing two options for buying a new sweatshirt. We need to calculate and compare both prices in order to determine the better buy.

Step 2:  Devise a plan.

To calculate and compare the prices we need to discount the coupons on both options and then buy the sweatshirt with the lower price.

Step 3:  Carry out the plan (solve).

Price: $36

Discount: -30%

Final price option A : 36 × ( 1 - 30%) = 25.2

Price: $32

Discount: -25%

Final price option B: 32 × ( 1 - 25%) = 24

 Step 4:  Look back (check and interpret).

Final price option A < Final price option B.

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