p rate per room is found by taking $2 off the base of $75 for each extra room rented. (a) How much money do you charge per room if a group rents 3 rooms? $ 71 What is the total amount of money you take in? $ 213 (b) Use a formula to give the rate you charge for each room if you rent n rooms to an organization. 75 - 2n (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) = 75n-2n² (d) Use functional notation to show the total revenue from renting a block of 7 rooms to a group. Calculate the value. R(7 ) = $427 X

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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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 $75.00, two for $73.00 each, and in general the group rate per room is found by taking $2 off the base of $75 for each extra room rented.

(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.

(d) Use functional notation to show the total revenue from renting a block of 7 rooms to a group. Calculate the value.

 

You own a motel with 30 rooms and have a pricing structure that encourages rentals of rooms in groups. One room rents for $75.00, two for $73.00 each, and in general the
group rate per room is found by taking $2 off the base of $75 for each extra room rented.
(a) How much money do you charge per room if a group rents 3 rooms?
$ 71
What is the total amount of money you take in?
$ 213
(b) Use a formula to give the rate you charge for each room if you rent in rooms to an organization.
75 - 2n
x
(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) = 75n-2n²
(d) Use functional notation to show the total revenue from renting a block of 7 rooms to a group. Calculate the value.
R(7
) = $427
X
Transcribed Image Text:You own a motel with 30 rooms and have a pricing structure that encourages rentals of rooms in groups. One room rents for $75.00, two for $73.00 each, and in general the group rate per room is found by taking $2 off the base of $75 for each extra room rented. (a) How much money do you charge per room if a group rents 3 rooms? $ 71 What is the total amount of money you take in? $ 213 (b) Use a formula to give the rate you charge for each room if you rent in rooms to an organization. 75 - 2n x (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) = 75n-2n² (d) Use functional notation to show the total revenue from renting a block of 7 rooms to a group. Calculate the value. R(7 ) = $427 X
(d) Use functional notation to show the total revenue from renting a block of 7 rooms to a group. Calculate the value.
R(7
) = $427
X
Transcribed Image Text:(d) Use functional notation to show the total revenue from renting a block of 7 rooms to a group. Calculate the value. R(7 ) = $427 X
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