Mathematics: You own a motel and have a pricing structure that encourages rentals of rooms in groups. one room rents for $68, two rooms for $65 each and in general the group rate per room is found by taking $3 off the base of $68 for each extra room. how much money do you charge per room if a group rents 10 rooms?

You own a motel and have a pricing structure that

giusto1894

02.01.2022

$41

Step-by-step explanation:

One room rents for $68, Two rooms for $65 each, In general, the group rate per room is found by taking $3 off the base of $68 for each extra room.

So,

$a_1=\$68\\ \\a_2=\$65\\ \\a_3=\$62\\ \\...$

where a_n is the rate per nth room rented.

This is an arithmetic sequence, so

$a_n=a_1+(n-1)\cdot d$

In your case,

$a_1=68\\ \\n=10\\ \\d=-3$

Hence

$a_{10}=68+(10-1)\cdot (-3)=68-9\cdot 3=68-27=41$

This means if a group rents 10 rooms, the charge per room is $41.

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marissalwilliams3

08.05.2023

2. Z=5000-2713.5=$2286.5

Step-by-step explanation:

Sub y=2713.5 into z=5000-y

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