Unit Rates & Proportions Unit Test 6 of 156 of 15 Items Question 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 ratios are not equivalent. No, the ratios are not equivalent. No, the table does not count consecutively. No, the table does not count consecutively. 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. Yes, the data table has a proportional relationship.
No, the ratios are not equivalent.
No, the ratios are not equivalent. No, the ratio of 6 to 78 is not proportional to the other ratios.
To determine if the quantities in the data table are in a proportional relationship, we need to check if the ratios between the number of trees and the number of apples are consistent.
First, let's calculate the ratios for each row in the table:
For the first row (2 trees and 26 apples), the ratio is 26/2 = 13.
For the second row (3 trees and 39 apples), the ratio is 39/3 = 13.
For the third row (6 trees and 78 apples), the ratio is 78/6 = 13.
For the fourth row (10 trees and 130 apples), the ratio is 130/10 = 13.
For the fifth row (12 trees and 156 apples), the ratio is 156/12 = 13.
We can see that the ratios between the number of trees and the number of apples are consistent, with each of them equal to 13. Therefore, the quantities in the data table are in a proportional relationship.
So, the correct response would be:
"Yes, the data table has a proportional relationship."