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.
(1 point)
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To determine if the quantities in the data table are in a proportional relationship, we need to check if the ratio of the number of adults to the cost of tickets remains constant as the number of adults increases.
We can calculate this ratio for each data point:
1 adult: $75 -> $75/1 = 75
2 adults: $150 -> $150/2 = 75
3 adults: $225 -> $225/3 = 75
5 adults: $375 -> $375/5 = 75
10 adults: $750 -> $750/10 = 75
100 adults: $7,500 -> $7,500/100 = 75
As we can see, the ratio of the number of adults to the cost of tickets is constant for each data point, which means the quantities in the data table are in a proportional relationship.
Therefore, the answer is 1.
To determine if the quantities in the data table are in a proportional relationship, we need to check if the ratios of the number of adults to the cost of tickets are the same.
Let's calculate the ratios for each pair of values:
For 1 adult ticket: 75/1 = 75
For 2 adult tickets: 150/2 = 75
For 3 adult tickets: 225/3 = 75
For 5 adult tickets: 375/5 = 75
For 10 adult tickets: 750/10 = 75
For 100 adult tickets: 7,500/100 = 75
As we can see, the ratios for each pair of values are all equal to 75. Therefore, the quantities in the data table are in a proportional relationship.
The answer is 1.