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

(1 point)
Responses

Yes, this data table has a proportional relationship.
Yes, this data table has a proportional relationship.

No, you can’t bike 12 miles in an hour.
No, you can’t bike 12 miles in an hour.

No, none of the ratios have equivalence.
No, none of the ratios have equivalence.

No, not all of the ratios are proportional or have equivalence.

1 answer

To determine if the quantities in a data table are in a proportional relationship, we should check if the ratio of the two quantities is constant throughout the table.

Without the actual data table, I cannot definitively analyze the ratios, but generally, the correct answer would be one of the following based on the conditions:

  • If the ratios of corresponding quantities (like distance to time) are the same for all entries, then the correct response would be: "Yes, this data table has a proportional relationship."

  • If the ratios are not equivalent (for instance, if the distance doesn't increase by the same factor as the time), then the correct response would be: "No, not all of the ratios are proportional or have equivalence."

If none of the ratios can lead to feasible real-world scenarios (such as biking 12 miles in an hour, which may be impractical for many people), that may lead to other responses, but primarily we focus on the equivalence of the ratios.

Since I do not have the actual table, you would need to check the ratios for equivalence to choose the correct response. If none of the ratios are constant, the most accurate answer would be: "No, not all of the ratios are proportional or have equivalence."