Determine if the quantities in the data table re in a proportional relationship. If they do not have a proportional relationship, indicate why.

(1 point)
Responses

A. No, the table does not count consecutively.

B. No, the ratio 7:35 is not proportional to the other ratios.

C. Yes, the data table has a proportional relationship.

D. No, the ratios are not equivalent.

1 answer

To determine if the quantities in the data table are in a proportional relationship, we would need to check if all the ratios between the quantities remain equivalent. Since I don't have access to the specific data table you're referring to, I can guide you on how to evaluate the options you've provided.

  1. A. No, the table does not count consecutively. - This option suggests that the data entries are not in a sequential pattern. However, just because the table doesn't count consecutively doesn't necessarily mean that it isn't proportional.

  2. B. No, the ratio 7:35 is not proportional to the other ratios. - If the ratio 7:35 differs from the other ratios calculated from the data table, then this option could be correct. You would need to compare this ratio with others to confirm.

  3. C. Yes, the data table has a proportional relationship. - This option would only be correct if all the ratios from the quantities are equivalent.

  4. D. No, the ratios are not equivalent. - This would be valid if you determine that the ratios derived from the data entries do not match.

To select the correct response, you will need to analyze the ratios in the data table carefully:

  • Calculate the ratios for the pairs of quantities in the table.
  • Check if all ratios are equivalent.

If they are not, you would choose either B or D based on the specific reason you find (e.g., a specific ratio that doesn't match).

If they are equivalent, you would select C.

Based on the context provided, and assuming you’ve performed these checks, you should be able to make a definitive choice amongst the given options.

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