Use the table to answer the question.

Question

Number of Adults 1 2 3 5 10 100
Cost of Tickets ($) 75 150 225 375 750 7,500
Determine if the quantities in the data table are in a proportional relationship. If the quantities have a proportional relationship, answer 1. If the quantities do not have a proportional relationship, answer 2.

(1 point) .

Answer 1

To determine if the quantities in the data table are in a proportional relationship, we can examine the ratio of the cost of tickets to the number of adults.

We can calculate the unit cost (cost per adult) for each entry in the table:

1. For 1 adult: \(75 / 1 = 75\)
2. For 2 adults: \(150 / 2 = 75\)
3. For 3 adults: \(225 / 3 = 75\)
4. For 5 adults: \(375 / 5 = 75\)
5. For 10 adults: \(750 / 10 = 75\)
6. For 100 adults: \(7500 / 100 = 75\)

The unit cost remains constant at 75 for all quantities of adults. Since the ratio stays the same, this indicates a proportional relationship.

Therefore, the answer is 1 (the quantities have a proportional relationship).