label Mathematics
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schedule 1 Day
account_balance_wallet \$5

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.

Oct 3rd, 2015

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.

Sep 21st, 2015

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Oct 3rd, 2015
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Oct 3rd, 2015
Sep 21st, 2017
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