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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.

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 6 : 78 is not proportional to the other ratios.

No, the table does not count consecutively.

1 answer

To determine if the quantities in a data table are in a proportional relationship, we need to check if the ratios of corresponding quantities are equivalent.

  1. Calculate the ratios for all pairs of corresponding quantities.
  2. If all ratios are equivalent, then they are proportional. If not, then they are not proportional.

Since I don't have the specific values from your data table, I can't make exact calculations. However, based on the provided response options, it seems that:

  • If the ratios differ or if one of the ratios (like 6 : 78) stands out as being different from the others, then you would choose the response that states they are not proportional.

Thus, if you find that the ratios are not all equivalent based on your calculations, you would select one of the "No" responses.

In general, calculating the ratios and ensuring their equivalence will lead you to the right conclusion about proportionality.