Use the table to answer the 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 for all cases.

Let's calculate the cost per adult 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 cost per adult is consistently $75 across all entries, the quantities in the data table do have a proportional relationship.

Therefore, the answer is 1.