The total cost of the hotel room for two nights is $456.84. If you are splitting the cost four ways, how much will each of you have to pay per night?(2 points)

Question

Responses

$228.42
$228.42

$57.11
$57.11

$57.00
$57.00

$114.22
$114.22
Question 2
Two of your friends each spend 56
of an hour in the bathroom getting ready. What is the total amount of time that they took to get ready?(2 points)
Responses

1 23
hours
1 23
hours

56
hours
5 sixths hours

1012
hours
10 over 12 hours

512
hours
5 over 12 hours
Question 3
Your friend orders two pizzas from room service. He gives you 13
of one of the pizzas and another friend 12
of the pizza. How much pizza does he have left for himself?(2 points)
Responses

1 16
pizzas
1 16
pizzas

2 56
pizzas
2 56
pizzas

1 13
pizzas
1 13
pizzas

16
pizzas
1 sixth pizzas
Question 4
You are trying to pick the largest bed for yourself. Option A measures 4 13
feet by 7 18
feet. Option B measures 5.2 feet by 6.8 feet. Which bed would give you the larger area to sleep on?

NOTE: A=l⋅w
(2 points)
Responses

Option A
Option A

Option B
Option B
Question 5
Please attach any written work for Task 3: The Hotel below.

All multiple choice questions are scored as correct or incorrect. By adding your written work here, we can give you partial credit back on any questions you may have missed. Work can be handwritten on paper and uploaded as an image or typed out in the text box.

If you do not attach work here, you will not receive any points back for any questions missed in this section.

Answer 1

Here are the responses and calculations for each question:

Question 1:

Total room cost for two nights: $456.84
Cost per night:
\[ \text{Cost per night} = \frac{456.84}{2} = 228.42 \]
Cost per person for one night (split four ways):
\[ \text{Cost per person} = \frac{228.42}{4} = 57.11 \]

Answer: $57.11

Question 2:

Time spent by two friends: Each spends \( \frac{5}{6} \) of an hour.
Total time:
\[ \text{Total time} = 2 \times \frac{5}{6} = \frac{10}{6} = \frac{5}{3} \text{ hours} \]
This is equivalent to 1 hour and \( \frac{2}{3} \) of an hour (since \( \frac{2}{3} \) is 40 minutes).

Answer: 1 \( \frac{2}{3} \) hours

Question 3:

Pizzas received:
You get \( \frac{1}{3} \) of a pizza and another friend gets \( \frac{1}{2} \) of a pizza.
To find the common denominator, we use 6:

• You: \( \frac{1}{3} = \frac{2}{6} \)
• Friend: \( \frac{1}{2} = \frac{3}{6} \)

Total pizza given away:
\[ \text{Total given} = \frac{2}{6} + \frac{3}{6} = \frac{5}{6} \]

Total pizza ordered: 2 pizzas
Pizza left over:
\[ \text{Pizza left} = 2 - \frac{5}{6} = \frac{12}{6} - \frac{5}{6} = \frac{7}{6} = 1 \frac{1}{6} \text{ pizzas} \]

Answer: 1 \( \frac{1}{6} \) pizzas

Question 4:

Option A Area:
\[ A_A = 4 \frac{1}{3} \times 7 \frac{1}{8} \]
Convert to improper fractions:
\[ 4 \frac{1}{3} = \frac{13}{3}, ; 7 \frac{1}{8} = \frac{57}{8} \]
\[ A_A = \frac{13}{3} \times \frac{57}{8} = \frac{741}{24} \text{ square feet} \]

Option B Area:
\[ A_B = 5.2 \times 6.8 = 35.36 \text{ square feet} \]

Comparing Areas:
Convert \( \frac{741}{24} \) to decimal:
\[ \frac{741}{24} \approx 30.875 \text{ square feet} \]

Answer: Option B is the larger area since \( 35.36 > 30.875 \).

Question 5:

For this question, please provide any specific calculations or written work you would like to attach regarding Task 3: The Hotel.

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Please let me know if there is anything more specific you want to go over for each question!