Question
The Arcadia Playhouse wants to make at least $5,500 on ticket sales this year. Currently, adults' tickets cost $73 and children's 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 adults' tickets sold y = the number of children's tickets sold
Answers
GPT-4o mini
To represent the situation mathematically, we need to formulate an inequality based on the ticket prices and the desired revenue.
Let:
- \( x \) = the number of adults' tickets sold
- \( y \) = the number of children's tickets sold
The ticket prices are:
- Adults' tickets: $73
- Children's tickets: $17
To find the total revenue from selling \( x \) adults' tickets and \( y \) children's tickets, we can express this as:
\[
73x + 17y
\]
We want the total revenue to be at least $5,500, which can be written as:
\[
73x + 17y \geq 5500
\]
To express this in standard form, we typically rearrange the inequality so that all terms are on one side:
\[
73x + 17y - 5500 \geq 0
\]
This is the inequality in standard form that describes the situation. Thus, the final answer is:
\[
73x + 17y \geq 5500
\]
Let:
- \( x \) = the number of adults' tickets sold
- \( y \) = the number of children's tickets sold
The ticket prices are:
- Adults' tickets: $73
- Children's tickets: $17
To find the total revenue from selling \( x \) adults' tickets and \( y \) children's tickets, we can express this as:
\[
73x + 17y
\]
We want the total revenue to be at least $5,500, which can be written as:
\[
73x + 17y \geq 5500
\]
To express this in standard form, we typically rearrange the inequality so that all terms are on one side:
\[
73x + 17y - 5500 \geq 0
\]
This is the inequality in standard form that describes the situation. Thus, the final answer is:
\[
73x + 17y \geq 5500
\]