Use Mathematical Models Involving Linear Inequalities
-A Volunteer Wants to Crochet

question 264

Multiple Choice

Use Mathematical Models Involving Linear Inequalities
-A volunteer wants to crochet beach hats and baby afghans for a church fund-raising bazaar. She needs 6 hours to make a hat and 5 hours to make an afghan and she has 30 hours available. Write an inequality that describes the situation and use the inequality to decide whether she can make 5 hats and 9 afghans in the time allowed. Let $x$ represent the number of hats and $y$ the number of afghans that she makes.

• A) \(6 x + 5 y \leq 30\); no
• B) \(6 x + 5 y \leq 30\); yes
• C) \(6 x + 5 y \geq 30 ; n o\)
• D) \(6 x + 5 y \geq 30\); yes

---

Definitions:

Knowledge Base

A repository of information or data that is structured for easy retrieval and use to support users or systems.

Sensory Experiences

Perceptions or interactions with the environment through the senses, including sight, sound, smell, taste, and touch.

Innate Concept

A cognitive theory suggesting that some knowledge or concepts are inherent and not acquired through experience.

Justice

The principle of fairness and the moral rightness of actions and laws within society, often associated with the distribution of resources and treatment of individuals.