Number 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
To determine whether the quantities in the data table have a proportional relationship, we need to check if the ratio of the cost of tickets to the number of adults remains constant.
Let's calculate the ratios for each pair of values:
For the first pair (1 adult, $75): $75/1 = 75
For the second pair (2 adults, $150): $150/2 = 75
For the third pair (3 adults, $225): $225/3 = 75
For the fourth pair (5 adults, $375): $375/5 = 75
For the fifth pair (10 adults, $750): $750/10 = 75
As we can see, the ratio of the cost of tickets to the number of adults is 75 for each pair. Therefore, the quantities in the data table have a proportional relationship.
Answer: 1
To determine if the quantities in the data table are in a proportional relationship, we need to compare the ratios between the different values.
Let's calculate the ratios for each set of values:
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
As we can see, the ratio of cost to the number of adults is consistently $75 for each value. This indicates that the quantities in the data table are in a proportional relationship.
Therefore, the answer is 1. The quantities in the data table have a proportional relationship.
To determine if the quantities in the data table have a proportional relationship, we need to check if the ratio between the number of adults and the cost of tickets is the same for all the data points.
Let's calculate the ratio for each data point:
For the first data point:
Number of Adults = 1
Cost of Tickets = $75
Ratio = 1/75 = 0.0133
For the second data point:
Number of Adults = 2
Cost of Tickets = $150
Ratio = 2/150 = 0.0133
For the third data point:
Number of Adults = 3
Cost of Tickets = $225
Ratio = 3/225 = 0.0133
For the fourth data point:
Number of Adults = 5
Cost of Tickets = $375
Ratio = 5/375 = 0.0133
For the fifth data point:
Number of Adults = 10
Cost of Tickets = $750
Ratio = 10/750 = 0.0133
For the sixth data point:
Number of Adults = 100
Cost of Tickets = $7,500
Ratio = 100/7500 = 0.0133
As we can see, the ratio between the number of adults and the cost of tickets is constant and equal to 0.0133 for all the data points in the table. Therefore, the quantities in the data table are in a proportional relationship.
Answer: 1