To determine if the quantities in the data table are in a proportional relationship, we need to check if the ratios of corresponding quantities are equivalent across the data.
Given the mention of the ratio 7:35, we can simplify this ratio:
7:35 simplifies to 1:5 (since both 7 and 35 can be divided by 7).
If there are other ratios in the data table, you would also simplify them and check their equivalence to 1:5.
Since we only have part of the reasoning, we cannot definitively state whether the entire table has a proportional relationship without comparing all the ratios. However, if the provided ratio 7:35 does not match with the other ratios (if they simplify to different values), you can conclude with one of the responses.
If other ratios do not equal 1:5 when simplified, then the correct answer would be:
No, the ratio of 7 to 35 is not proportional to the other ratios.
If the other ratios do simplify to 1:5, then the conclusion would be:
Yes, the data table has a proportional relationship.
The choice "No, the ratios are not equivalent." also indicates a lack of proportionality if the ratios differ.
Further details or ratios from the data table would be necessary to make a conclusive judgment.
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