The price per night for a hotel room is different at three different hotels.

\begin{tabular}{ccc}
\hline Hotel & Nights & Price (in dollars) \\
\hline [tex]$A$[/tex] & 3 & 192 \\
[tex]$B$[/tex] & 5 & 300 \\
[tex]$C$[/tex] & 7 & 455 \\
\hline
\end{tabular}

Which hotel costs the least per night?

Choose 1 answer:
A. Hotel [tex]$A$[/tex]
B. Hotel [tex]$B$[/tex]
C. Hotel [tex]$C$[/tex]



Answer :

Let's find the price per night for each hotel and determine which one costs the least. Here is a detailed step-by-step solution:

1. Calculate the price per night for Hotel A:
- Hotel A has a total stay of 3 nights with a total price of [tex]$192. - To find the price per night, divide the total price by the number of nights: \[ \text{Price per night for Hotel A} = \frac{192}{3} = 64 \text{ dollars} \] 2. Calculate the price per night for Hotel B: - Hotel B has a total stay of 5 nights with a total price of $[/tex]300.
- To find the price per night, divide the total price by the number of nights:
[tex]\[ \text{Price per night for Hotel B} = \frac{300}{5} = 60 \text{ dollars} \][/tex]

3. Calculate the price per night for Hotel C:
- Hotel C has a total stay of 7 nights with a total price of $455.
- To find the price per night, divide the total price by the number of nights:
[tex]\[ \text{Price per night for Hotel C} = \frac{455}{7} = 65 \text{ dollars} \][/tex]

4. Compare the price per night for each hotel:
- Hotel A: 64 dollars per night
- Hotel B: 60 dollars per night
- Hotel C: 65 dollars per night

5. Determine which hotel has the least cost per night:
- Comparing the prices, we see that Hotel B costs the least per night at 60 dollars.

Therefore, the hotel that costs the least per night is:

(B) Hotel B