Question
The Lowell City Ballet is selling tickets for an upcoming performance, and the ballet company hopes to bring in at least $6,800 in revenue. Regular tickets cost $48, whereas discounted tickets cost $19.
Write 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
Write 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 express the situation as an inequality in standard form, we can start by determining the revenue generated from selling the tickets.
The revenue from selling regular tickets is \(48x\) (where \(x\) is the number of regular tickets sold) and the revenue from selling discounted tickets is \(19y\) (where \(y\) is the number of discounted tickets sold).
The total revenue from both types of tickets must be at least $6,800. Therefore, we can write the inequality as:
\[
48x + 19y \geq 6800
\]
To rewrite this in standard form (i.e., \(Ax + By \geq C\)), we can rearrange it if necessary. However, the inequality \(48x + 19y \geq 6800\) is already in standard form.
Thus, the final inequality is:
\[
48x + 19y \geq 6800
\]
The revenue from selling regular tickets is \(48x\) (where \(x\) is the number of regular tickets sold) and the revenue from selling discounted tickets is \(19y\) (where \(y\) is the number of discounted tickets sold).
The total revenue from both types of tickets must be at least $6,800. Therefore, we can write the inequality as:
\[
48x + 19y \geq 6800
\]
To rewrite this in standard form (i.e., \(Ax + By \geq C\)), we can rearrange it if necessary. However, the inequality \(48x + 19y \geq 6800\) is already in standard form.
Thus, the final inequality is:
\[
48x + 19y \geq 6800
\]