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

To determine if the quantities in the data table are in a proportional relationship, we need to check if the ratios between the hours and the money amounts are equivalent.

Let's calculate the ratios:

1 hour to $9: 1/9 = 0.1111
2 hours to $18: 2/18 = 0.1111
3 hours to $27: 3/27 = 0.1111
4 hours to $36: 4/36 = 0.1111

Since all the ratios are equal to 0.1111, the quantities in the data table are in a proportional relationship. Therefore, the answer is:

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 compare the ratios between the hours and the money.

Let's calculate the ratios for each pair of hours and money:

Ratio for 1 hour: $9 = 1:9
Ratio for 2 hours: $18 = 2:18 = 1:9
Ratio for 3 hours: $27 = 3:27 = 1:9
Ratio for 4 hours: $36 = 4:36 = 1:9

As we can see, all the ratios are equivalent and equal to 1:9. Therefore, the quantities in the data table are in a proportional relationship.

The correct response is: Yes, the ratios are in a proportional relationship.