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 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!

you need more information to answer this question

step-by-step explanation:

answer: ratio of volume of cone (with 3 times the height and equal diameter) to volume of cylinder is 2 to 1. the value of π is not used.

step-by-step explanation:

radius is diameter/2 = 4.

area of circle is π r^2.

volume of cylinder is height × area of base = hπr^2 = 3(4^2) π = 48π cubic inches.

not knowing the formula for volume of cone, i calculate it using calculus (which is for calculating things).

volume of cone is integral 0 to h area(y) dy. area(y) is π r(y)^2. r(y) runs r to zero as y runs zero to h, r(0) = r, r(h) = 0.

r(y) = r - r/h y

area(y) = π (r - r/h y)^2 = π (r^2 - 2r^2y/h + r^2y^2/h^2) = π r^2(1-2y/h+y^2/h^2)

antiderivative area(y) = π r^2 (y-y^2/h+y^3/(3h^2))

integral 0 to h = π r^2(h-h^2/h+h^3/(3h^2) - (0)) = π r^2(h - h + h/3) = π r^2(h/3) = π/3 r^2 h

volume of this cone is π/3(4^2)18 cubic inches.

= 6 16 π = 96π cubic inches.

cone has twice the volume, 96/48.

cone height is 6 times the cylinder.

ratio of volume formula: π r^2 cancels.

cone over cylinder ratio is 6h/3 to h, 2 to 1.