Use the table to answer the question we have number of trees and number of apples determine if the quantities in the data table are in a proportional relationship. If they are not in a proportional relationship, indicate why number of trees is two, three, six, 10 and 12 number of apples is 26,39, 78, 130, 156 the answers to choose from our no the table does not count consecutively or yes, the data table has a proportional relationship or no the ratio six, 78 is not proportional to the other ratios or no the ratios are not equivalent, what is the answer?

Question

Use the table to answer the question we have number of trees and number of apples determine if the quantities in the data table are in a proportional relationship. If they are not in a proportional relationship, indicate why number of trees is two, three, six, 10 and 12 number of apples is 26,39, 78, 130, 156 the answers to choose from our no the table does not count consecutively or yes, the data table has a proportional relationship or no the ratio six, 78 is not proportional to the other ratios or no the ratios are not equivalent, what is the answer?

Answer 1

Based on the given data, the ratios of the number of trees to the number of apples are as follows:

- Ratio 1: 2 trees to 26 apples (2:26)
- Ratio 2: 3 trees to 39 apples (3:39)
- Ratio 3: 6 trees to 78 apples (6:78)
- Ratio 4: 10 trees to 130 apples (10:130)
- Ratio 5: 12 trees to 156 apples (12:156)

To determine if the quantities in the data table are in a proportional relationship, we need to check if the ratios are equivalent.

Ratio 1 simplifies to 1:13
Ratio 2 simplifies to 1:13
Ratio 3 simplifies to 1:13
Ratio 4 simplifies to 1:13
Ratio 5 simplifies to 1:13

Since all the ratios simplify to the same ratio of 1:13, we can conclude that the data table has a proportional relationship. Therefore, the answer is: Yes, the data table has a proportional relationship.