Question

A hotel charges a $10,000 annual fee plus an additional $200 for each night you stay there. What is the average cost per night if you stay at the hotel for 50 nights?

Answer 1

`\$400`

Explanation:

GIVEN: A hotel charges a
`\$10000` annual fee plus an additional
`\$200` for each night you stay there.

TO FIND: average cost per night if you stay at the hotel for
`50` nights.

SOLUTION:

Annual fee charged by hotel
`=\$10000`

amount charged each night we stay there
`=\$200`

Total number of nights we stay
`=50`

Total amount paid for
`50` nights
`=50*\$200`

`=\$10000`

Total amount paid
`=\text{annual fee}+\text{total amount paid for 50 nights}`

`=\$10000+\$10000`

`=\$20000`

average cost per night
`=\frac{\text{total amount paid}}{\text{total number of nights of stay}}`

putting values,

average cost per night
`=(20000)/(50)`

`=\$400`

Hence average cost per night if we stay at hotel for
`50` days is
`\$400`