You own a motel with 46 rooms and have a pricing structure that encourages rentals of rooms in groups. One room rents for $70, two rent for $67 each, and in general the group rate per room is found by taking $3 off the base of $70 for each extra room rented.

a) How much money do you take in if a family rents four rooms ?

b) Use a formula to give the rate you charge for each room if you rent n rooms to an organization.