Use the table to answer the question.
# of Trees # of Apples
2. 26
3. 39
6. 78
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 ratio 6: 78 is not proportional to the other ratios.
Yes, the data table has a proportional relationship
No, the table does not count consecutively
No, the data table does not have a proportional relationship. 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.
Using the given data from the table, let's calculate the ratios:
Ratio for (2 trees, 26 apples) = 26/2 = 13 apples per tree
Ratio for (3 trees, 39 apples) = 39/3 = 13 apples per tree
Ratio for (6 trees, 78 apples) = 78/6 = 13 apples per tree
Ratio for (10 trees, 130 apples) = 130/10 = 13 apples per tree
Ratio for (12 trees, 156 apples) = 156/12 = 13 apples per tree
Since all the ratios are equal to 13 apples per tree, the quantities in the data table are indeed in a proportional relationship. Therefore, the correct answer is:
Yes, the data table has 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 are equivalent or not.
To do this, we can calculate the ratios for each pair of values in the table:
Ratio for 2 trees: 26 apples = 26/2 = 13
Ratio for 3 trees: 39 apples = 39/3 = 13
Ratio for 6 trees: 78 apples = 78/6 = 13
Ratio for 10 trees: 130 apples = 130/10 = 13
Ratio for 12 trees: 156 apples = 156/12 = 13
We can see that all the ratios are equal to 13. Therefore, the quantities in the data table are in a proportional relationship.