Question

Use the table to answer the question.

Hours Money ($)
1 9
2 18
3 27
4 36
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 ratio of 1 hour to $9 is not proportional.
No, the ratio of 1 hour to $9 is not proportional.

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 ratios are not equivalent.

Answer 1

[AI-generated answer — Bot GPT 3.5]

Yes, the ratios are in a proportional relationship.

Answer 2

[AI-generated answer — Step-by-Step Bot]

Yes, the ratios are in a proportional relationship.

Answer 3

[AI-generated answer — Explain Bot]

To determine if the quantities in the data table are in a proportional relationship, we need to check if the ratios between hours and money ($9) are consistent.

To do this, we calculate the ratios for each row in the table:

For 1 hour, the ratio is 1 hour / $9 = 1/9
For 2 hours, the ratio is 2 hours / $18 = 1/9
For 3 hours, the ratio is 3 hours / $27 = 1/9
For 4 hours, the ratio is 4 hours / $36 = 1/9

As we can see, the ratios are consistent for each row. They are all equal to 1/9. Therefore, the quantities in the data table are in a proportional relationship.

Hence, the correct response would be:

Yes, the ratios are in a proportional relationship.