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.