Question

A movie ticket costs $7.50 per person. Determine if the relationship between number of tickets, x, and total cost, y, is proportional. Explain how you know.

Answer 1

[AI-generated answer — Bot GPT 3.5]

To determine if the relationship between the number of tickets, x, and the total cost, y, is proportional, we need to check if the ratio of y to x remains constant.

If the relationship is proportional, the ratio of y to x should always be the same.

Let's consider different scenarios:

Scenario 1: 1 ticket
- Number of tickets, x = 1
- Total cost, y = $7.50 (1 ticket * $7.50 per ticket)
- Ratio of y to x = 7.50/1 = 7.50

Scenario 2: 2 tickets
- Number of tickets, x = 2
- Total cost, y = $15 (2 tickets * $7.50 per ticket)
- Ratio of y to x = 15/2 = 7.50

Scenario 3: 3 tickets
- Number of tickets, x = 3
- Total cost, y = $22.50 (3 tickets * $7.50 per ticket)
- Ratio of y to x = 22.50/3 = 7.50

As we can see from the different scenarios, the ratio of y to x remains constant at 7.50. Therefore, the relationship between the number of tickets, x, and the total cost, y, is indeed proportional.