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.
(1 point)
Responses
No, the ratio 6:78 is not proportional to the other ratios.
No, the ratio ratio of 6 to 78 is not proportional to the other ratios.
No, the table does not count consecutively.
No, the table does not count consecutively.
No, the ratios are not equivalent.
No, the ratios are not equivalent.
Yes, the data table has a proportional relationship.
No, the ratios are not equivalent. The ratio of 6 to 78 is not proportional to the other ratios in the table.
No, the ratios are not equivalent
To determine if the quantities in the data table are in a proportional relationship, we can calculate the ratios of the number of apples to the number of trees for each entry.
For the first entry, the ratio is 26/2 = 13.
For the second entry, the ratio is 39/3 = 13.
For the third entry, the ratio is 78/6 = 13.
For the fourth entry, the ratio is 130/10 = 13.
For the fifth entry, the ratio is 156/12 = 13.
Since all the ratios are equal to 13, the quantities in the data table are in a proportional relationship.