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.

Answer 1

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 is constant.

In this case, let's calculate the ratios for each data point:

For the first data point (2 trees, 26 apples): 2/26 = 1/13

For the second data point (3 trees, 39 apples): 3/39 = 1/13

For the third data point (6 trees, 78 apples): 6/78 = 1/13

For the fourth data point (10 trees, 130 apples): 10/130 = 1/13

For the fifth data point (12 trees, 156 apples): 12/156 = 1/13

As we can see, in every case, the ratio is 1/13. Thus, the quantities in the data table are in a proportional relationship.