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.