Use the table to answer the question.

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

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

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

3.No, the ratios are not equivalent.
3.No, the ratios are not equivalent.

4.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 can check if the ratios of hours to money are equivalent.

Looking at the data in the table:

• 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 the ratios simplify to \( 9 \), they are indeed equivalent.

Therefore, the correct response is:

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