Question

Use the table to answer the question.%0D%0A%0D%0ANumber of Adults%091%092%093%095%0910%09100%0D%0ACost of Tickets ($)%0975%09150%09225%09375%09750%097,500%0D%0ADetermine 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.%0D%0A%0D%0A(1 point)

Answer 1

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

Using the data from the table:

- For 1 adult:
\[
\text{Cost} = 75, \quad \text{Ratio} = \frac{75}{1} = 75
\]

- For 2 adults:
\[
\text{Cost} = 150, \quad \text{Ratio} = \frac{150}{2} = 75
\]

- For 3 adults:
\[
\text{Cost} = 225, \quad \text{Ratio} = \frac{225}{3} = 75
\]

- For 5 adults:
\[
\text{Cost} = 375, \quad \text{Ratio} = \frac{375}{5} = 75
\]

- For 10 adults:
\[
\text{Cost} = 750, \quad \text{Ratio} = \frac{750}{10} = 75
\]

- For 100 adults:
\[
\text{Cost} = 7500, \quad \text{Ratio} = \frac{7500}{100} = 75
\]

Since all the ratios are equal to 75, we can conclude that the quantities have a proportional relationship.

The answer is **1**.