Question

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 ratios are in a proportional relationship.
Yes, the ratios are in a proportional relationship.

No, the ratio of 3 hours to $27 is not proportional.
No, the ratio of 3 hours to $27 is not proportional.

No, the ratio of 1 hour to $9 is not proportional.

Answer 1

To determine if the quantities in the data table are in a proportional relationship, we need to compare the ratios involved.

Assuming that the data table gives hours and corresponding amounts of money (as suggested by the hints in your responses), we would need to calculate the ratio of money to hours for each pair to establish a consistent proportion.

For example:
1. For 3 hours and $27, the ratio is \( \frac{27}{3} = 9 \).
2. For 1 hour and $9, the ratio is \( \frac{9}{1} = 9 \).

If both ratios are equal (both equal to 9), then the quantities are in a proportional relationship. If they differ, then they are not in a proportional relationship.

In this case, the ratios of 3 hours to $27 and 1 hour to $9 are both equal to 9. Thus, we conclude:

**Yes, the ratios are in a proportional relationship.**

If your context is different, please provide the specific quantities or the content of the data table for a more accurate analysis.