You own a motel with 45 rooms and have a pricing structure that encourages rentals of rooms in groups. One room rents for $82, two rent for $80 each, and in general the group rate per room is found by taking $2 off the base of $82 for each extra room rented. (a) How much money do you take in if a family rents five rooms? (Round your answer to the nearest dollar.) $ 400 x (b) Use a formula to give the rate you charge for each room if you rent in rooms to an organization. 82-2-n-1 (c) Find a formula for a function R = R(n) that gives the revenue from renting n rooms to a convention host. R(n) = n2-82-2-0-1 x (d) What is the most money you can make from rental to a single group? (Round your answer to the nearest dollar.) $ How many rooms do you rent? 16 X rooms

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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You own a motel with 45 rooms and have a pricing structure that encourages rentals of rooms in groups. One room rents for $82, two rent for $80 each, and in general the
group rate per room is found by taking $2 off the base of $82 for each extra room rented.
(a) How much money do you take in if a family rents five rooms? (Round your answer to the nearest dollar.)
$ 400
x
(b) Use a formula to give the rate you charge for each room if you rent n rooms to an organization.
82-2-n-1
(c) Find a formula for a function R = R(n) that gives the revenue from renting n rooms to a convention host.
R(n) n. 822. no-1
=
(d) What is the most money you
$
How many rooms do you rent?
16
x rooms
X
make from rental to a single group? (Round your answer to the nearest dollar.)
Transcribed Image Text:You own a motel with 45 rooms and have a pricing structure that encourages rentals of rooms in groups. One room rents for $82, two rent for $80 each, and in general the group rate per room is found by taking $2 off the base of $82 for each extra room rented. (a) How much money do you take in if a family rents five rooms? (Round your answer to the nearest dollar.) $ 400 x (b) Use a formula to give the rate you charge for each room if you rent n rooms to an organization. 82-2-n-1 (c) Find a formula for a function R = R(n) that gives the revenue from renting n rooms to a convention host. R(n) n. 822. no-1 = (d) What is the most money you $ How many rooms do you rent? 16 x rooms X make from rental to a single group? (Round your answer to the nearest dollar.)
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