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The table shows the relationship between the number of tickets and the total cost for those tickets.

From the table:

| Number of Tickets | 1  | 2  | 3  | 4  | 5  |
|-------------------|----|----|----|----|----|
| Total Cost ($)     | 6  | 10 | 14 | 18 | 22 |

### Observations:
1. Each additional ticket increases the total cost by 4 dollars.
   - From 1 to 2 tickets: $ 10 - 6 = 4 $
   - From 2 to 3 tickets: $ 14 - 10 = 4 $
   - This pattern continues for the other values.
   
Thus, the total cost follows a **linear relationship** where the cost increases by a constant rate of 4 dollars per ticket.

### General Equation:
Let $ n $ be the number of tickets, and $ C(n) $ be the total cost. The relationship can be expressed as:
\[
C(n) = 4n + 2
\]
This equation shows that for each additional ticket, the total cost increases by 4, and the starting cost for one ticket is $6.

Would you like more details on how to derive the formula or any further clarifications?

### 5 Questions to Expand:
1. What is the cost of 6 tickets using the equation $ C(n) = 4n + 2 $?
2. How can you verify if a relationship is linear based on a table of values?
3. Can the equation $ C(n) = 4n + 2 $ be rearranged in another form to make it easier to use?
4. If the ticket prices were reduced by $1, how would the equation change?
5. What would be the cost for 10 tickets using this model?

### Tip:
When analyzing tables with patterns, check if the change between consecutive values is constant. This often hints at a linear relationship!

The table shows the total cost for different number of tickets.

Analyze the linear relationship between the number of tickets and total cost, where each ticket increases the cost by $4. Use the formula C(n) = 4n + 2 to find the total cost for any number of tickets.

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