Complete the table to show the total cost of ice skating for 2, 3, 4, and 5 hours.
Understand the Problem
The question is asking for help in completing a table to show the total cost of ice skating for specific hours based on a given pricing scheme. The total cost is calculated using a formula based on the cost per hour provided.
Answer
The total costs for the number of hours are $12 for 2 hours, $17 for 3 hours, $22 for 4 hours, and $27 for 5 hours.
Answer for screen readers
The completed table for the total costs is:
| Number of Hours | Total Cost ($) |
|---|---|
| 2 | 12 |
| 3 | 17 |
| 4 | 22 |
| 5 | 27 |
Steps to Solve
- Identify the pricing scheme
The ice skating price is $7 for the first hour and $5 for each additional hour.
- Calculate the total cost for 2 hours
For 2 hours, the total cost is calculated as: $$ \text{Total Cost} = 7 + 5 \times (2 - 1) = 7 + 5 \times 1 = 7 + 5 = 12 $$
- Calculate the total cost for 3 hours
For 3 hours, the total cost is: $$ \text{Total Cost} = 7 + 5 \times (3 - 1) = 7 + 5 \times 2 = 7 + 10 = 17 $$
- Calculate the total cost for 4 hours
For 4 hours, the total cost is: $$ \text{Total Cost} = 7 + 5 \times (4 - 1) = 7 + 5 \times 3 = 7 + 15 = 22 $$
- Calculate the total cost for 5 hours
For 5 hours, the total cost is: $$ \text{Total Cost} = 7 + 5 \times (5 - 1) = 7 + 5 \times 4 = 7 + 20 = 27 $$
The completed table for the total costs is:
| Number of Hours | Total Cost ($) |
|---|---|
| 2 | 12 |
| 3 | 17 |
| 4 | 22 |
| 5 | 27 |
More Information
This problem illustrates the concept of a linear cost structure where the initial hour has a different rate compared to additional hours. It helps to understand how to formulate costs based on variable rates.
Tips
- Forgetting to account for the initial hour's cost separately and only multiplying by the additional hours.
- Confusing the operation needed (addition vs. multiplication) when calculating costs.
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