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

Answer:

$\ 400$

Step-by-step 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$=50\times\ 200$

                                                   $=\ 10000$

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 $=\frac{20000}{50}$

                                      $=\ 400$

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