Answer:
[tex]\$400[/tex]
Step-by-step explanation:
GIVEN: A hotel charges a [tex]\$10000[/tex] annual fee plus an additional [tex]\$200[/tex] for each night you stay there.
TO FIND: average cost per night if you stay at the hotel for [tex]50[/tex] nights.
SOLUTION:
Annual fee charged by hotel [tex]=\$10000[/tex]
amount charged each night we stay there [tex]=\$200[/tex]
Total number of nights we stay [tex]=50[/tex]
Total amount paid for [tex]50[/tex] nights[tex]=50\times\$200[/tex]
[tex]=\$10000[/tex]
Total amount paid [tex]=\text{annual fee}+\text{total amount paid for 50 nights}[/tex]
[tex]=\$10000+\$10000[/tex]
[tex]=\$20000[/tex]
average cost per night [tex]=\frac{\text{total amount paid}}{\text{total number of nights of stay}}[/tex]
putting values,
average cost per night [tex]=\frac{20000}{50}[/tex]
[tex]=\$400[/tex]
Hence average cost per night if we stay at hotel for [tex]50[/tex] days is [tex]\$400[/tex]
