Can someone please help me understand ?
Mathematics

Tutor: None Selected  Time limit: 1 Day 
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) =
Thank you for the opportunity to help you with your question!
Answer
(a) : = $76 total amount = 80+78+76 = $ 234
(b) formula Rent = 802 (n1) where n is the number of room rented...
solving we get Rent = 802n+2 hence Formula is Rent = 822n
(c) revenue : 80 + 802*(1)+ 802*(2) +  80 2*(n1)
hence we can write : 80n 2*[ 1+2+3 +  (n1)]
or , 80n 2 *(n1)(n)/2 = 80n n(n1)
or 80nn^2+n = 81nn^2
hence Revenue R(n) = 81nn^2
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