Marissa is an event organizer for a charity group. She is organizing a five-hour dinner event being held to raise funds for the charity. The following list shows the costs for hosting the event.

Facility Rental: $150 per hour of event

Linens: $2 per attendee

Food: $20 per attendee

Table Decorations: $3 per attendee

Musical Entertainment: $1,800 (flat fee)

Cleaning Fee: $250 (flat fee)

The total cost of the event, with n attendees, is represented by the given expression.

Which statement best describes the constant in this expression?

A.

It is the cost per person for food, linens, and table decorations.

B.

It is the total cost for entertainment and cleaning.

C.

It is the total cost for entertainment, facility rental, and cleaning.

D.

It is the cost per hour for facility rental and cleaning.

Answer: C.

It is the total cost for entertainment, facility rental, and cleaning.

For a 5 hour event organized by Marissa, we have a list of cost from different categories that would add up to the total for hosting the event. It includes the facility rental which is paid $150 per hour so for 5 hours it would be $750.

Next we have linens, food and table decorations that are charged according to the number of attendees at the event. Since the number of attendees is unknown here, we are going to skip everything which is effected by the number of attendees. Furthermore, we have musical entertainment and cleaning fee at a flat rate of $1800 and $250 respectively. So there are 3 things that we are sure about that they will stay constant despite the number of attendees and they are facility rental, musical entertainment and cleaning fee.