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.

Answer 1

To determine if the quantities in the data table are in a proportional relationship, we need to check if the ratio of the cost of tickets to the number of adults is constant.

Let's calculate the ratio of Cost of Tickets to Number of Adults for each entry:

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

Since the ratio of Cost of Tickets to Number of Adults is constant (75) for all entries, the quantities in the data table are in a proportional relationship.

Therefore, the answer is 1.