# 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.
To determine if the quantities in the data table are in a proportional relationship, we need to check if the ratio of the number of trees to the number of apples remains constant.
Let's calculate the ratios for each row:
- For row 1 (2 trees, 26 apples): 2/26 = 1/13
- For row 2 (3 trees, 39 apples): 3/39 = 1/13
- For row 3 (6 trees, 78 apples): 6/78 = 1/13
- For row 4 (10 trees, 130 apples): 10/130 = 1/13
- For row 5 (12 trees, 156 apples): 12/156 = 1/13
We can see that in each row, the ratio of the number of trees to the number of apples is constant and equal to 1/13. Therefore, the quantities in the data table are in a proportional relationship.