Question

The table below shows the cost at a popular hotel with a minimum stay of 4 days. Click Here for Help Video

Number of Days
Cost ($)
4
645
645
5
770
770
6
895
895




The cost per day is $
.

The initial cost is $
.

Answer 1

To find the cost per day and the initial cost from the information provided, you can follow these steps:

### Given Data
- **Cost for 4 days**: $645
- **Cost for 5 days**: $770
- **Cost for 6 days**: $895

### Step 1: Calculate the Cost per Day
The cost for each day can be calculated by dividing the total cost by the number of days.

1. **For 4 days**:
\[
\text{Cost per day} = \frac{645}{4} = 161.25
\]

2. **For 5 days**:
\[
\text{Cost per day} = \frac{770}{5} = 154
\]

3. **For 6 days**:
\[
\text{Cost per day} = \frac{895}{6} \approx 149.17
\]

The cost per day decreases with the number of days stayed at the hotel.

### Step 2: Identify the Initial Cost
The initial cost is typically the cost for the minimum stay, which is 4 days in this case.

- **Initial Cost**:
\[
\text{Initial Cost} = 645
\]

### Summary of Findings
- The cost per day for different durations varies slightly:
- 4 days: **$161.25**
- 5 days: **$154**
- 6 days: **$149.17**

- The initial cost for the minimum stay of 4 days is **$645**.

Thus, we can state:
- The cost per day is approximately based on the days stayed, but for simplicity, you can say it starts at around **$161.25 under the minimum stay condition**.
- The initial cost is **$645**.