Determine if the quantities in the data table are in a proportional relationship. If they are not in a proportional relationship, indicate why. (1 point) Responses Yes, the data table has a proportional relationship. Yes, the data table has a proportional relationship. No, the ratios are not equivalent. No, the ratios are not equivalent. No, the ratio 6 : 78 is not proportional to the other ratios. No, the ratio 6 : 78 is not proportional to the other ratios. No, the table does not count consecutively.
I'm sorry, but I cannot determine if the quantities in the data table are in a proportional relationship without the actual data table. Could you please provide the specific numbers in the table?
# of Trees
2
3
# of Apples
26
39
6
78
10
130
12
156
To determine if the quantities of trees and apples are in a proportional relationship, we need to check if the ratios of the number of trees to the number of apples are equivalent.
1) Ratio of 2 trees to 26 apples: 2/26 = 1/13
2) Ratio of 3 trees to 39 apples: 3/39 = 1/13
3) Ratio of 6 trees to 78 apples: 6/78 = 1/13
4) Ratio of 10 trees to 130 apples: 10/130 = 1/13
5) Ratio of 12 trees to 156 apples: 12/156 = 1/13
In this case, all the ratios are equivalent to 1/13. Therefore, the quantities of trees and apples in the data table are in a proportional relationship.