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. Yes, the data table has a proportional relationship. Yes, the data table has a proportional relationship. 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 ratios are not equivalent.
No, the ratio 6:78 is not proportional to the other ratios.
No, the ratios are not equivalent.
To determine if the quantities in the data table are in a proportional relationship, we need to compare the ratios formed by the number of trees to the number of apples for each pair of values.
Let's calculate the ratios for each pair of values:
For the first pair: 2 trees / 26 apples = 1/13
For the second pair: 3 trees / 39 apples = 1/13
For the third pair: 6 trees / 78 apples = 1/13
For the fourth pair: 10 trees / 130 apples = 1/13
For the fifth pair: 12 trees / 156 apples = 1/13
We can see that all the ratios are equivalent to 1/13. Since all the ratios are the same, the quantities in the data table are in a proportional relationship.
Therefore, the correct response would be: Yes, the data table has a proportional relationship.