Question

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?

Answer 1

C: the items in this answer will always be the same cost per the number of the attendees. A, B and C all have everything else has a flat rate meaning that’s the money you put down as a starter.

Answer 2

A constant is a number that stays the same no matter what any outside variables are.  In this case, the variables are the number of hours of the event and the number of attendees.  However, it states in the problem that the event will be 5 hours so that becomes known; the only thing that might change is the number of attendees so you can eliminate any cost that will be affected by that.  You are left with Facility Rental, Musical Entertainment, and Cleaning Fee.  Furthermore, you can be sure that Musical Entertainment and Cleaning Fee must be included in the constant because they are described as "flat rates", which means they do not change.

The answer is D) It is the total cost for entertainment, facility rental, and cleaning.

Hope this helps!