Question
A hockey team in Booneville has made it to the playoffs. In order to make a profit on the game, at least $24,000 must be made in sales of lower-level tickets, which cost $61, and luxury box seats, which cost $160.
Write the inequality in standard form that describes this situation. Use the given numbers and the following variables.
x = the number of lower-level tickets sold
y = the number of luxury box tickets sold
Write the inequality in standard form that describes this situation. Use the given numbers and the following variables.
x = the number of lower-level tickets sold
y = the number of luxury box tickets sold
Answers
GPT-4o mini
To express the situation in an inequality, we start by considering the total sales from lower-level tickets and luxury box tickets.
Lower-level tickets cost $61, and the number of lower-level tickets sold is denoted by \( x \). This gives us a total sales amount for lower-level tickets of \( 61x \).
Luxury box tickets cost $160, and the number of luxury box tickets sold is denoted by \( y \). This gives us a total sales amount for luxury box tickets of \( 160y \).
To ensure that the total sales from both types of tickets is at least $24,000, we can set up the following inequality:
\[
61x + 160y \geq 24000
\]
This inequality is already in standard form. If you'd like to express it as an equation, you could write:
\[
61x + 160y - 24000 \geq 0
\]
However, the original form, \( 61x + 160y \geq 24000 \), clearly conveys the relationship needed to determine the required ticket sales for the hockey team's profit.
Lower-level tickets cost $61, and the number of lower-level tickets sold is denoted by \( x \). This gives us a total sales amount for lower-level tickets of \( 61x \).
Luxury box tickets cost $160, and the number of luxury box tickets sold is denoted by \( y \). This gives us a total sales amount for luxury box tickets of \( 160y \).
To ensure that the total sales from both types of tickets is at least $24,000, we can set up the following inequality:
\[
61x + 160y \geq 24000
\]
This inequality is already in standard form. If you'd like to express it as an equation, you could write:
\[
61x + 160y - 24000 \geq 0
\]
However, the original form, \( 61x + 160y \geq 24000 \), clearly conveys the relationship needed to determine the required ticket sales for the hockey team's profit.