Question

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 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 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:
\(\frac{7500}{100} = 75\)

In all cases, the ratio is 75, which is constant.

Since the ratio of the cost of tickets to the number of adults is constant, the quantities do have a proportional relationship.

Therefore, the answer is **1**.