Question

Use the table to answer the question.

Relationship Between Hours Worked and Money Earned
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

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

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

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

To determine if the quantities in the data table are in a proportional relationship, we need to check if the ratios of hours worked to money earned are equivalent.

Let's calculate the ratios:

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

Since all these ratios are equal to 9, the quantities in the data table are indeed in a proportional relationship.

Therefore, the correct response is:

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