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To solve the given problem, we need to express the relationship between the total cost $ y $ and the number of tickets $ x $ purchased.

### Step-by-step:

1. **Find the cost per ticket**: 
   The total cost for 71 tickets is $91.59. To find the cost per ticket, divide the total cost by the number of tickets:
   \[
   \text{Cost per ticket} = \frac{91.59}{71} = 1.29
   \]
   So, the cost per ticket is $1.29.

2. **Write the equation**:
   The total cost $ y $ is the cost per ticket times the number of tickets $ x $. Therefore, the equation that represents the relationship between $ y $ (total cost) and $ x $ (number of tickets) is:
   \[
   y = 1.29x
   \]

This equation can be used to calculate the total cost for any number of tickets $ x $.

Would you like more details, or do you have any questions about this solution?

Here are five related questions for further practice:
1. How much would it cost to buy 100 tickets using the same rate?
2. If you only have $50, how many tickets can you purchase?
3. How would the equation change if the cost per ticket was $1.50?
4. What is the total cost for 200 tickets?
5. How would you determine the number of tickets if the total cost is known?

**Tip**: Always check units in word problems to ensure consistent results!

At a carnival it costs $91.59 for 71 tickets. Write an equation that can be used to express the relationship between the total cost (y) and the number of tickets (x) you buy.

Learn how to write a linear equation that represents the relationship between the total cost (y) and the number of tickets (x) at a carnival where 71 tickets cost $91.59. Suitable for students in Grades 6-8.

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