To analyze the costs for the theme park given in the table, we can determine the cost per day and the initial cost.
1. Calculating the Cost Per Day
Let's calculate the cost per day based on the information provided:
-
For 2 days: \[ \text{Cost per day} = \frac{\text{Total Cost}}{\text{Number of Days}} = \frac{545}{2} = 272.50 \]
-
For 3 days: \[ \text{Cost per day} = \frac{710}{3} \approx 236.67 \]
-
For 4 days: \[ \text{Cost per day} = \frac{875}{4} = 218.75 \]
Since the cost per day decreases with more days, to find the average cost per day across the different options, we can take the cost associated with each experience divided by the number of days:
2. Average Cost Per Day
To find an overall average cost per day for all ticket prices, we'd sum the costs and divide by the number of days:
\[ \text{Average Cost per Day} = \frac{545 + 710 + 875}{2 + 3 + 4} \]
Calculating the total cost:
\[ 545 + 710 + 875 = 2130 \]
Now, calculating the total number of days:
\[ 2 + 3 + 4 = 9 \]
Now divide the total cost by the total number of days:
\[ \text{Average Cost per Day} = \frac{2130}{9} \approx 236.67 \]
3. Initial Cost
Initial cost is typically viewed as the price for the first day. Assuming each ticket system (2 days, 3 days, 4 days) is bundled with a base price to consider after the first day, you can consider the cost of 2 days as the initial subscription with no extra cost.
Thus the initial cost (cost for the first day of the 2-day package) is equal to:
\[ \text{Initial Cost} = 545 - 272.50 = 272.50 \]
Summary
- The overall average cost per day is approximately $236.67.
- The initial cost (the price for the first day) is $272.50.
1 answer