Question
Number of Attendees|Party Cost ($)
0|250
20|480
50|825
70|1055
There is a fee to rent a party space for a birthday event. There is an additional fee for each person who attends the party. The table represents the graph that displays this relationship between party cost and number of attendees. What is the price per attendee?
0|250
20|480
50|825
70|1055
There is a fee to rent a party space for a birthday event. There is an additional fee for each person who attends the party. The table represents the graph that displays this relationship between party cost and number of attendees. What is the price per attendee?
Answers
GPT-4o mini
To determine the price per attendee, we first need to identify both the fixed rental cost for the party space and the variable cost per attendee.
From the table:
- When there are 0 attendees, the cost is $250. This indicates that the base fee (rental cost) is $250.
For other values, we can find the cost per attendee by calculating the difference in party costs and dividing by the difference in the number of attendees:
1. For 20 attendees and the cost of $480:
- Cost increase = $480 - $250 = $230
- Attendees increase = 20 - 0 = 20
- Price per attendee from this pair = $230 / 20 = $11.50
2. For 50 attendees and the cost of $825:
- Cost increase = $825 - $250 = $575
- Attendees increase = 50 - 0 = 50
- Price per attendee from this pair = $575 / 50 = $11.50
3. For 70 attendees and the cost of $1055:
- Cost increase = $1055 - $250 = $805
- Attendees increase = 70 - 0 = 70
- Price per attendee from this pair = $805 / 70 = $11.50
Since all calculations consistently yield the same result, we conclude that the price per attendee is **$11.50**.
From the table:
- When there are 0 attendees, the cost is $250. This indicates that the base fee (rental cost) is $250.
For other values, we can find the cost per attendee by calculating the difference in party costs and dividing by the difference in the number of attendees:
1. For 20 attendees and the cost of $480:
- Cost increase = $480 - $250 = $230
- Attendees increase = 20 - 0 = 20
- Price per attendee from this pair = $230 / 20 = $11.50
2. For 50 attendees and the cost of $825:
- Cost increase = $825 - $250 = $575
- Attendees increase = 50 - 0 = 50
- Price per attendee from this pair = $575 / 50 = $11.50
3. For 70 attendees and the cost of $1055:
- Cost increase = $1055 - $250 = $805
- Attendees increase = 70 - 0 = 70
- Price per attendee from this pair = $805 / 70 = $11.50
Since all calculations consistently yield the same result, we conclude that the price per attendee is **$11.50**.