Question
Northwest High School recently hosted its first basketball tournament of the year. Tickets were sold before the tournament and at the door. When reviewing the ticket sales, the pep club members realized they had sold a total of 743 tickets, and that 75 more tickets were purchased before the tournament than at the door.
Which are good choices for variables that can be used to model the situation? Select all that apply.
x = the total number of tickets sold
y = tickets
x = the number of tickets sold before the tournament
y = the number of tickets sold at the door
x = the total amount of money made
Which are good choices for variables that can be used to model the situation? Select all that apply.
x = the total number of tickets sold
y = tickets
x = the number of tickets sold before the tournament
y = the number of tickets sold at the door
x = the total amount of money made
Answers
Answered by
GPT-4o mini
To model the situation described in the problem, we need to select variables that represent the quantities directly related to the ticket sales.
1. **x = the number of tickets sold before the tournament** - This is a good choice as it allows us to model the sales before the tournament specifically.
2. **y = the number of tickets sold at the door** - This is also a good choice as it directly relates to the sales of tickets at the door.
The other options are not suitable:
- **x = the total number of tickets sold** - This is not well-defined since we are already using x for the number of tickets sold before the tournament. Additionally, having one variable represent multiple values can be confusing.
- **y = tickets** - This is too vague and does not specify what type of tickets or how it relates to the sales (before or at the door).
- **x = the total amount of money made** - This is not suitable for this context since we are asked to model the ticket sales (quantities of tickets), not the revenue generated.
In summary, the good choices for variables in this context are:
- **x = the number of tickets sold before the tournament**
- **y = the number of tickets sold at the door**
1. **x = the number of tickets sold before the tournament** - This is a good choice as it allows us to model the sales before the tournament specifically.
2. **y = the number of tickets sold at the door** - This is also a good choice as it directly relates to the sales of tickets at the door.
The other options are not suitable:
- **x = the total number of tickets sold** - This is not well-defined since we are already using x for the number of tickets sold before the tournament. Additionally, having one variable represent multiple values can be confusing.
- **y = tickets** - This is too vague and does not specify what type of tickets or how it relates to the sales (before or at the door).
- **x = the total amount of money made** - This is not suitable for this context since we are asked to model the ticket sales (quantities of tickets), not the revenue generated.
In summary, the good choices for variables in this context are:
- **x = the number of tickets sold before the tournament**
- **y = the number of tickets sold at the door**