Answer:
![\$400](https://tex.z-dn.net/?f=%5C%24400)
Step-by-step explanation:
GIVEN: A hotel charges a
annual fee plus an additional
for each night you stay there.
TO FIND: average cost per night if you stay at the hotel for
nights.
SOLUTION:
Annual fee charged by hotel ![=\$10000](https://tex.z-dn.net/?f=%3D%5C%2410000)
amount charged each night we stay there ![=\$200](https://tex.z-dn.net/?f=%3D%5C%24200)
Total number of nights we stay ![=50](https://tex.z-dn.net/?f=%3D50)
Total amount paid for
nights![=50\times\$200](https://tex.z-dn.net/?f=%3D50%5Ctimes%5C%24200)
![=\$10000](https://tex.z-dn.net/?f=%3D%5C%2410000)
Total amount paid ![=\text{annual fee}+\text{total amount paid for 50 nights}](https://tex.z-dn.net/?f=%3D%5Ctext%7Bannual%20fee%7D%2B%5Ctext%7Btotal%20amount%20paid%20for%2050%20nights%7D)
![=\$10000+\$10000](https://tex.z-dn.net/?f=%3D%5C%2410000%2B%5C%2410000)
![=\$20000](https://tex.z-dn.net/?f=%3D%5C%2420000)
average cost per night ![=\frac{\text{total amount paid}}{\text{total number of nights of stay}}](https://tex.z-dn.net/?f=%3D%5Cfrac%7B%5Ctext%7Btotal%20amount%20paid%7D%7D%7B%5Ctext%7Btotal%20number%20of%20nights%20of%20stay%7D%7D)
putting values,
average cost per night ![=\frac{20000}{50}](https://tex.z-dn.net/?f=%3D%5Cfrac%7B20000%7D%7B50%7D)
![=\$400](https://tex.z-dn.net/?f=%3D%5C%24400)
Hence average cost per night if we stay at hotel for
days is ![\$400](https://tex.z-dn.net/?f=%5C%24400)