Question

You own a motel with 53 rooms and have a pricing structure that encourages rentals of rooms in groups. One room rents for $82, two rent for $79 each, and in general, the group rate per room is found by taking $3 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.) $ (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 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.) $ How many rooms do you rent?

          You own a motel with 53 rooms and have a pricing structure that encourages rentals of rooms in groups. One room rents for $82, two rent for $79 each, and in general, the group rate per room is found by taking $3 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.) $

(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 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.) $ How many rooms do you rent?

Added by Fred P.

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