To determine if the quantities in the data table represent a proportional relationship, we need to analyze the ratios of the number of apples to the number of trees.
We can find the ratio of apples to trees for each pair:
- For 2 trees: \( \frac{26}{2} = 13 \)
- For 3 trees: \( \frac{39}{3} = 13 \)
- For 6 trees: \( \frac{78}{6} = 13 \)
- For 10 trees: \( \frac{130}{10} = 13 \)
- For 12 trees: \( \frac{156}{12} = 13 \)
Since the ratio is consistently 13 for all pairs, we see that the quantities are in a proportional relationship.
Therefore, the correct response is:
Yes, the data table has a proportional relationship.
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