To determine which hotel costs the least per night, we need to calculate the price per night for each hotel and then compare these values. Here are the steps to do this:
1. Calculate the price per night for Hotel A:
- Hotel A offers 3 nights for [tex]$192.
- Price per night for Hotel A = Total price / Number of nights
\[
\text{Price per night for Hotel A} = \frac{192}{3} = 64 \text{ dollars per night}
\]
2. Calculate the price per night for Hotel B:
- Hotel B offers 5 nights for $[/tex]300.
- Price per night for Hotel B = Total price / Number of nights
[tex]\[
\text{Price per night for Hotel B} = \frac{300}{5} = 60 \text{ dollars per night}
\][/tex]
3. Calculate the price per night for Hotel C:
- Hotel C offers 7 nights for [tex]$455.
- Price per night for Hotel C = Total price / Number of nights
\[
\text{Price per night for Hotel C} = \frac{455}{7} = 65 \text{ dollars per night}
\]
4. Compare the price per night for each hotel:
- Price per night for Hotel A: $[/tex]64
- Price per night for Hotel B: [tex]$60
- Price per night for Hotel C: $[/tex]65
Among these prices per night, Hotel B offers the least price per night at $60.
Hence, the hotel that costs the least per night is:
(B) Hotel B.
