Can someone please help me understand ?

label Mathematics
account_circle Unassigned
schedule 1 Day
account_balance_wallet $5

ou own a motel with 30 rooms and have a pricing structure that encourages rentals of rooms in groups. One room rents for $80.00, two for $78.00 each, and in general the group rate per room is found by taking $2 off the base of $80 for each extra room rented.

(a) How much money do you charge per room if a group rents 3 rooms?

What is the total amount of money you take in?

(b) Use a formula to give the rate you charge for each room if you rent n rooms to an organization.


(c) Find a formula for a function R = R(n) that gives the total revenue from renting n rooms to a convention host.
R(n) = 


Sep 10th, 2015

Thank you for the opportunity to help you with your question!


(a) : = $76     total amount = 80+78+76 =  $ 234

(b) formula Rent  = 80-2 (n-1)   where n is the number of room rented...

solving we get Rent   = 80-2n+2  hence Formula is Rent   = 82-2n

(c)  revenue : 80 + 80-2*(1)+ 80-2*(2)  + -------- 80 -2*(n-1)

hence we can write : 80n -2*[ 1+2+3 + ----- (n-1)]

or ,  80n -2 *(n-1)(n)/2  = 80n -n(n-1) 

or 80n-n^2+n   = 81n-n^2

hence Revenue R(n) = 81n-n^2

Please contact me to complete your online assignments/classes of mathematics, physics, chemistry, mechanics, statistics, calculus etc. with A+++ grade....Check my completed online works at

kindly share above links among your friends also !!

Dear Student : I would be glad to complete your online assignments/classes of math, physics, mechanics, statistics, calculus etc. Inbox me if you are interested !!! I always deliver quality work in time.
Sep 10th, 2015

Studypool's Notebank makes it easy to buy and sell old notes, study guides, reviews, etc.
Click to visit
The Notebank
Sep 10th, 2015
Sep 10th, 2015
Oct 19th, 2017
Mark as Final Answer
Unmark as Final Answer
Final Answer

Secure Information

Content will be erased after question is completed.

Final Answer