Renting motel rooms: 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...

Renting motel rooms: 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.

 d. Use functional notation to show the total revenue from renting a block of 9 rooms to a group. Calculate the value.