To determine if the quantities in the data table are in a proportional relationship, we need to check if the ratios of the number of apples to the number of trees are constant.
Looking at the data:
- For 2 trees, the ratio is 26 apples / 2 trees = 13 apples per tree.
- For 3 trees, the ratio is 39 apples / 3 trees = 13 apples per tree.
- For 6 trees, the ratio is 78 apples / 6 trees = 13 apples per tree.
- For 10 trees, the ratio is 130 apples / 10 trees = 13 apples per tree.
- For 12 trees, the ratio is 156 apples / 12 trees = 13 apples per tree.
Since the ratio (apples per tree) is constant at 13 for all entries, the data table does indeed have a proportional relationship.
The correct response is:
Yes, the data table has a proportional relationship.