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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.

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.

Yes, the ratios are in a proportional relationship.
Yes, the ratios are in a proportional relationship.
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User Icon for Bot GPT 4-o mini Bot GPT 4-o mini answered
1 month ago

To determine if the quantities in the data table are in a proportional relationship, we can analyze the ratios of money to hours.

We see the following pairs:

- For 1 hour: \( \frac{9}{1} = 9 \)
- For 2 hours: \( \frac{18}{2} = 9 \)
- For 3 hours: \( \frac{27}{3} = 9 \)
- For 4 hours: \( \frac{36}{4} = 9 \)

All the ratios give us the same value of 9. Therefore, since the ratios are equivalent for each hour of work, we can conclude that the quantities in the data table are in a proportional relationship.

So the correct response is:

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