Use the table to answer the question.
# of Trees # of Apples
2
26
3
39
78
6
130
10
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 ratio 6: 78 is not proportional to the other ratios
Yes, the data table has a proportional relationship
No, the ratios are not equivalent.
No, the table does not count consecutively
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 consistent.
By calculating the ratios for each row, we get the following:
- For the first row: 2 trees / 26 apples = 1:13
- For the second row: 3 trees / 39 apples = 1:13
- For the third row: 6 trees / 78 apples = 1:13
- For the fourth row: 10 trees / 156 apples = 1:15.6
Since the ratios are not consistent between all the rows, the quantities in the data table are not in a proportional relationship.
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 remain constant.
To do this, we calculate the ratios for each row of the table. The ratio is obtained by dividing the number of apples by the number of trees.
For the given data table, the ratios are as follows:
2 trees / 26 apples = 1/13
3 trees / 39 apples = 1/13
6 trees / 78 apples = 1/13
10 trees / 156 apples = 1/15
Since the ratios are not the same for each row, it indicates that the quantities in the data table are not in a proportional relationship.
Therefore, the correct answer to the question is: No, the ratios are not equivalent.