Question

1. alex received a $100 gift card to an online bookstore. he uses the gift card to buy a book for $15.50. he also wants to buy some additional books, each costing $12.75. which inequality describes this situation, where m is the number of additional books alex wants to buy? \\(15.50 + 12.75m \leq 100\\) \\(15.50 + 12.75m \geq 100\\) \\(15.50 - 12.75m \leq 100\\) \\(15.50 - 12.75m \geq 100\\)

Explanation:

Step1: Analyze total cost

Alex spends $15.50 on one book and $12.75 per additional book (m books). Total cost is \(15.50 + 12.75m\).

Step2: Relate to gift card value

The gift card is $100, so total cost must be ≤ $100 (can't spend more than gift card). Thus, \(15.50 + 12.75m \leq 100\).

Answer:

A. \(15.50 + 12.75m \leq 100\)