Can someone please help me understand ?

User Generated

Pnyphyngbe1

Mathematics

Description

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? (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. 

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Explanation & Answer

Thank you for the opportunity to help you with your question!

As described in the problem, for each extra room rented there will be $3 off the base price of 70$

(a) Now, when a family rents four rooms.  That means they have rented 3 extra rooms.

$3 off for each extra room so discount for 3 extra rooms =  3 * 3$ = 9$

So price per each room is base price -  discount i.e. 70$ - 9$ = 61$

Price for four rooms = 4 * 61$ = 244$

(b)  Formula for computing rate you charge for one room when n rooms are rented is:

       Rate per room = 70$ - ( (n-1) * 3$)

       Above formula can be solved to get  73$ - 3n$

      Above formula is derived using below logic

     Rate per room = Base Price - (Number of extra rooms * 3$)

Note: In case you are asked to find out total price for n rooms, then you need to multiply price per room with n.

    


Please let me know if you need any clarification. I'm always happy to answer your questions.


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