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)
To determine if the quantities in the data table are in a proportional relationship, we need to see if the ratio between the number of adults and the cost of tickets is the same for each row in the table.
Let's calculate the ratio for each row:
1 adult: $75, ratio = $75 / 1 adult = $75/1 = $75
2 adults: $150, ratio = $150 / 2 adults = $150/2 = $75
3 adults: $225, ratio = $225 / 3 adults = $225/3 = $75
5 adults: $375, ratio = $375 / 5 adults = $375/5 = $75
10 adults: $750, ratio = $750 / 10 adults = $750/10 = $75
100 adults: $7,500, ratio = $7,500 / 100 adults = $7,500/100 = $75
Since the ratio of the number of adults to the cost of tickets is the same for each row, we can conclude that the quantities in the 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 ratio of the cost of tickets to the number of adults is constant.
Let's calculate the ratios for each pair of data points:
For 1 adult: 75/1 = 75
For 2 adults: 150/2 = 75
For 3 adults: 225/3 = 75
For 5 adults: 375/5 = 75
For 10 adults: 750/10 = 75
For 100 adults: 7,500/100 = 75
Since the ratio is consistently 75 for every pair of adults and ticket prices, we can conclude that 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 ratio between the number of adults and the cost of tickets remains constant.
Let's find the ratios for each pair of values in the table:
1 adult -> $75 / 1 = 75
2 adults -> $150 / 2 = 75
3 adults -> $225 / 3 = 75
5 adults -> $375 / 5 = 75
10 adults -> $750 / 10 = 75
100 adults -> $7,500 / 100 = 75
As we can see, the ratio between the number of adults and the cost of tickets remains constant at 75. Therefore, the quantities in the data table are in a proportional relationship.
Answer: 1