Question

The Livingston City Ballet is selling tickets for an upcoming performance, and the ballet company hopes to bring in at least $6,100 in revenue. Regular tickets cost $72, whereas discounted tickets cost $17.
Select the inequality in standard form that describes this situation. Use the given numbers and the following variables.
x = the number of regular tickets sold
y = the number of discounted tickets sold

Answers

GPT-4o mini
To formulate the inequality that represents the situation described, we can start by using the revenue generated from the two types of tickets being sold.

Regular tickets cost $72 each, so the revenue from regular tickets can be represented as \(72x\), where \(x\) is the number of regular tickets sold.

Discounted tickets cost $17 each, so the revenue from discounted tickets can be represented as \(17y\), where \(y\) is the number of discounted tickets sold.

The total revenue from both types of tickets must be at least $6,100. Therefore, we can express this as an inequality:

\[
72x + 17y \geq 6100
\]

This is the inequality in standard form that describes the situation for the Livingston City Ballet regarding ticket sales.