# The Richland Banquet Hall charges 800 dollars to rent its facility and 40 dollars per person for dinner. The hall holds a minimum of 25 people and a maximum of 100. A sorority decides to hold itsformal there, splitting all the costs among the attendees. Let n be the number of people attending the formal.a. Create a function C (n) for the total cost of renting the hall and serving dinner.C(n) =2dollarsEditb. Create a function P(n) for the cost per person for the event.dollars per personEditc. What is P (25)? P (100)?P(25)dollars per person and P (100)-dollars per person

Question
Step 1

The rent of the hall is 800 dollars.

The price to serve the dinner per person is 40 dollars.

The hall holds maximum 100 and minimum 25 people.

Step 2

(a)

Suppose that the number of people attending the formal is n.

The rent is fixed, so we have to add the dinner serving price for n people with it.

Since the dinner serving price per person is 40 dollars, the total dinner serving price for n people is 40n dollars.

Therefore, the total cost of renting the hall and serving dinner is,

Step 3

(b)

The attendees of the formal decided to split the charges among ...

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