Question

The table below shows the cost at a popular hotel with a minimum stay of 4 days.
Number of days. Cost($)
4. 485.
5. 570.
6. 655.

the cost per day is $___.
the initial cost $____.

Answer 1

To determine the cost per day and the initial cost from the given information, we can first calculate the cost per day and then find the initial cost for the minimum stay of 4 days.

1. **Cost Calculation for Each Stay:**
- For 4 days: $485
- For 5 days: $570
- For 6 days: $655

2. **Cost Per Day:**
- For 4 days:
\[
\text{Cost per day} = \frac{485}{4} = 121.25
\]
- For 5 days:
\[
\text{Cost per day} = \frac{570}{5} = 114
\]
- For 6 days:
\[
\text{Cost per day} = \frac{655}{6} \approx 109.17
\]

As the cost per day decreases with more days, we can assume different rates apply based on the number of days.

3. **Identify the Initial Cost:**
- The given cost for a minimum stay of 4 days is $485. This can be understood as the initial cost (for the first 4 days).

From the above calculations, we can summarize:

- **Cost per day:** The rates decrease with more days, but the initial price of a minimum stay of 4 days is **$121.25** when considering that amount specifically over 4 days.
- **Initial cost for 4 days:** **$485**

So:
- The cost per day is approximately $121.25 (for the first 4 days).
- The initial cost is $485.