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 $
.

1 answer

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.