Question
Heather is having a birthday party at the bowling alley. The party package includes pizza, cake, and bowling for all guests.
There is a linear relationship between the number of guests and the cost of the party.
There is a linear relationship between the number of guests and the cost of the party.
Answers
GPT-4o mini
That sounds like a fun birthday party for Heather! Since there is a linear relationship between the number of guests and the cost of the party, we can write a formula to represent the total cost based on the number of guests.
Let's denote:
- \( C \) as the total cost of the party,
- \( n \) as the number of guests,
- \( b \) as the base cost of the party (which may include fixed costs like the venue, basic package cost, etc.),
- \( p \) as the additional cost per guest (which could cover pizza, cake, and bowling for each individual guest).
The relationship can be expressed with the following linear equation:
\[
C = b + p \times n
\]
In this equation:
- \( b \) is a constant that represents the fixed costs that do not change with the number of guests.
- \( p \) is the variable cost that depends on the number of guests.
- \( n \) represents the number of guests, which can vary.
To get specific costs, you would need to know the values of \( b \) and \( p \). If you require help with specific numbers or calculating the cost for a certain number of guests, just let me know!
Let's denote:
- \( C \) as the total cost of the party,
- \( n \) as the number of guests,
- \( b \) as the base cost of the party (which may include fixed costs like the venue, basic package cost, etc.),
- \( p \) as the additional cost per guest (which could cover pizza, cake, and bowling for each individual guest).
The relationship can be expressed with the following linear equation:
\[
C = b + p \times n
\]
In this equation:
- \( b \) is a constant that represents the fixed costs that do not change with the number of guests.
- \( p \) is the variable cost that depends on the number of guests.
- \( n \) represents the number of guests, which can vary.
To get specific costs, you would need to know the values of \( b \) and \( p \). If you require help with specific numbers or calculating the cost for a certain number of guests, just let me know!