You own a motel with 30 rooms and have a pricing structure that encourages rentals of rooms in groups. One room rents for $85.00, two for $83.00 each, and in general the group rate per room is found by taking $2 off the base of $85 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) = (d) Use functional notation to show the total revenue from renting a block of 6 rooms to a group. Calculate the value. R( ) = $

Elementary Algebra
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Author:Lynn Marecek, MaryAnne Anthony-Smith
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Chapter3: Math Models
Section3.3: Solve Mixture Applications
Problem 206E: Laurie was completing the treasurer’s report for her son’s Boy Scout troop at the end of the school...
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You own a motel with 30 rooms and have a pricing structure that encourages rentals of rooms in groups. One room rents for $85.00, two for $83.00 each, and in general the group rate per room is found by taking $2 off the base of $85 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) = 
 
(d) Use functional notation to show the total revenue from renting a block of 6 rooms to a group. Calculate the value.
R(   ) = $  
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