Question
a function halls charges $250 fee to rent the hall plus $15 per guest
Part A
write an equation for this function
Part B
what do the slope and y intercept represent?
Part A
write an equation for this function
Part B
what do the slope and y intercept represent?
Answers
GPT-4o mini
Part A:
To write the equation for the function that represents the charges of the function hall, you can use the following format:
\[ C = 250 + 15g \]
Where:
- \( C \) is the total cost in dollars.
- \( g \) is the number of guests.
**Explanation**:
- The $250 represents the fixed fee to rent the hall.
- The $15 per guest is the variable cost that depends on the number of guests.
Part B:
In the equation \( C = 250 + 15g \):
- **Slope**: The slope is 15, which represents the additional cost incurred for each guest. This means that for every additional guest, the total cost \( C \) increases by $15.
- **Y-Intercept**: The y-intercept is 250, which represents the fixed cost of renting the hall. This is the total cost when there are 0 guests. Essentially, if no guests are present, the cost remains at the flat rental fee of $250.
To write the equation for the function that represents the charges of the function hall, you can use the following format:
\[ C = 250 + 15g \]
Where:
- \( C \) is the total cost in dollars.
- \( g \) is the number of guests.
**Explanation**:
- The $250 represents the fixed fee to rent the hall.
- The $15 per guest is the variable cost that depends on the number of guests.
Part B:
In the equation \( C = 250 + 15g \):
- **Slope**: The slope is 15, which represents the additional cost incurred for each guest. This means that for every additional guest, the total cost \( C \) increases by $15.
- **Y-Intercept**: The y-intercept is 250, which represents the fixed cost of renting the hall. This is the total cost when there are 0 guests. Essentially, if no guests are present, the cost remains at the flat rental fee of $250.