Solve the Problem $x + y < 500$ $x \geq 2 y$

question 93

Multiple Choice

Solve the problem.
-A college theater reserves x tickets for students and y tickets for general admission. Total number of seats available is at most 500. The college reserves a least 2 times as many student tickets as general Admission tickets. The number of student tickets cannot be negative. The number of general
Admission tickets cannot be negative. Write a system of inequalities to represent the described Scenario and graph the solution set.

• A) \(x + y < 500\) \(x \geq 2 y\) \(x \geq 0\) \(y \geq 0\)
• B) \(x + y \leq 500\) \(y \geq 2 x\) \(x \geq 0\) \(y \geq 0\)
• C) \(x + y \leq 500\) \(x \geq 2 y\) \(x \geq 0\) \(y \geq 0\)
• D) \(x + y < 500\) \(y \geq 2 x\) \(x \geq 0\) \(y \geq 0\)

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Definitions:

Target Market

A specific group of potential customers identified as the intended recipient of a company's marketing efforts.

Ethical Concern

Considerations related to the moral implications and responsibilities of one's actions, particularly regarding their impact on others.

Sexualized Clothing

Apparel designed to emphasize sexual attributes or suggest sexual availability, often stirring debate on appropriateness and societal impacts.

Tweens

Young individuals, typically aged between 9 and 12 years old, who are in the transitional stage from childhood to adolescence.