Question

part a) monique is flying home from college for the summer. her bag cannot be more than 50 pounds or she will have to pay an extra fee. she packs 34 pounds of clothes and wants to bring home text books. each book is on average 4 pounds. write inequality modeling this. \\( 34 - 4x \geq 50 \\) \\( 34 - 4x \leq 50 \\) \\( 34 + 4x \geq 50 \\) \\( 34 + 4x \leq 50 \\)

Explanation:

Step1: Define variable

Let \( x \) be the number of textbooks. Each book is 4 pounds, so the weight of books is \( 4x \) pounds.

Step2: Total weight

The weight of clothes is 34 pounds, so total weight of bag is \( 34 + 4x \) pounds.

Step3: Inequality condition

The bag cannot be more than 50 pounds, so \( 34 + 4x \leq 50 \).

Answer:

\( 34 + 4x \leq 50 \) (corresponding to the last option: \( 34 + 4x \leq 50 \))