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) =

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

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Sep 10th, 2015

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