Use the table to answer the question.
# of Trees # of Apples
2
26
3
39
78
6
10
130
12
156
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)
No, the ratios are not equivalent.
No, the table does not count consecutively
Yes, the data table has a proportional relationship
No, the ratio 6: 78 is not proportional to the other rabos.
No, the quantities in the data table are not in a proportional relationship. The ratios between the number of trees and the number of apples are not equivalent.
To determine if the quantities in the data table are in a proportional relationship, we can compare the ratios of the number of apples to the number of trees.
Let's calculate the ratios:
For the first row, the ratio is 26/2 = 13.
For the second row, the ratio is 39/3 = 13.
For the third row, the ratio is 78/6 = 13.
For the fourth row, the ratio is 130/12 ≈ 10.83.
The ratios are not consistent, as the last ratio is different from the others. Therefore, the quantities in the data table are not in a proportional relationship.
So, the answer is:
No, the ratios are not equivalent.
To determine if the quantities in the data table are in a proportional relationship, we need to check if the ratios between the number of trees and the number of apples are equivalent for each data point.
Let's calculate the ratios for each data point:
Ratio for the first data point: 2 trees / 26 apples = 1/13
Ratio for the second data point: 3 trees / 39 apples = 1/13
Ratio for the third data point: 78 trees / 6 apples = 13/1
Ratio for the fourth data point: 10 trees / 130 apples = 1/13
Ratio for the fifth data point: 12 trees / 156 apples = 1/13
As we can see, the ratios are not equal for all the data points. Therefore, the quantities in the data table are not in a proportional relationship.
So, the correct answer is:
No, the ratios are not equivalent.