Question

morgan wallen is performing at a local arena, and tickets are selling fast. the price for a general admission (ga) ticket is $65, while a vip ticket costs $100. the total number of tickets sold is limited to 500 due to venue capacity but they would like to make at least $31,000. let x represent the number of vip tickets sold and y represent the number of ga tickets sold. which of the following inequalities accurately represents this situation?

100x + 65y ≥ 500
65x + 100y ≤ 500
100x + 65y ≥ 31000
65x + 100y ≤ 31000

Explanation:

Step1: Calculate total revenue

The revenue from VIP tickets is $100x$ (since each VIP ticket costs $100$ and $x$ is the number of VIP - tickets). The revenue from GA tickets is $65y$ (since each GA ticket costs $65$ and $y$ is the number of GA - tickets).

Step2: Set up the revenue - related inequality

They want to make at least $31000$. "At least" means greater than or equal to. So the inequality for the total revenue is $100x + 65y\geq31000$.

Answer:

C. $100x + 65y\geq31000$