To determine if the quantities in the data table are in a proportional relationship, we need to examine the ratios of the number of apples to the number of trees.
-
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:
\( \frac{156}{12} = 13 \)
It shows that all the ratios are equal to 13, which indicates a constant ratio.
Based on this evaluation, the correct response is:
Yes, the data table has a proportional relationship.