You own a motel with 49 rooms and have a pricing structure that encourages rentals of rooms in groups. One room rents for $93, two rent for $91 each, and in general the group rate per room is found by taking $2 off the base of $93 for each extra room rented. (a) How much money do you take in if a family rents four rooms? (Round your answer to the nearest dollar.) $ 348 (b) Use a formula to give the rate you charge for each room if you rent n rooms to an organization. 93 – 2n+2= 95 – 2n (c) Find a formula for a function R = R(n) that gives the revenue from renting n rooms to a convention host. R(n) = (d) What is the most money you can make from rental to a single group? (Round your answer to the nearest dollar.) $ 348 How many rooms do you rent?

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
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Chapter2: Graphical And Tabular Analysis
Section2.1: Tables And Trends
Problem 20E: Renting Motel Rooms You own a motel with 30 rooms, and you have a pricing structure that encourages...
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b c d and how mnay rooms do you rent?

You own a motel with 49 rooms and have a pricing structure that encourages rentals of rooms in groups. One room rents for
$93, two rent for $91 each, and in general the group rate per room is found by taking $2 off the base of $93 for each extra
room rented.
(a) How much money do you take in if a family rents four rooms? (Round your answer to the nearest dollar.)
$ 348
(b) Use a formula to give the rate you charge for each room if you rent n rooms to an organization.
93 – 2n+ 2 = 95 – 2n
(c) Find a formula for a function R = R(n) that gives the revenue from renting n rooms to a convention host.
R(n) =
(d) What is the most money you can make from rental to a single group? (Round your answer to the nearest dollar.)
$ 348
How many rooms do you rent?
4
x rooms
Transcribed Image Text:You own a motel with 49 rooms and have a pricing structure that encourages rentals of rooms in groups. One room rents for $93, two rent for $91 each, and in general the group rate per room is found by taking $2 off the base of $93 for each extra room rented. (a) How much money do you take in if a family rents four rooms? (Round your answer to the nearest dollar.) $ 348 (b) Use a formula to give the rate you charge for each room if you rent n rooms to an organization. 93 – 2n+ 2 = 95 – 2n (c) Find a formula for a function R = R(n) that gives the revenue from renting n rooms to a convention host. R(n) = (d) What is the most money you can make from rental to a single group? (Round your answer to the nearest dollar.) $ 348 How many rooms do you rent? 4 x rooms
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