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

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

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. .

Answer 1

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

The relationship can be found by dividing the money by the hours for each entry:

• 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 the ratios are all equal (9), the quantities in the data table are in a proportional relationship.

Thus, the correct response is:

Yes, the ratios are in a proportional relationship.

Answer 2

B: (1,4)
C:(1,30)
C: yes, the date table has a proportional relationship.
A:no not all of the ratios proportional or have equivalent
A: yes, the ratios are in a proportional relationship.

They are all correct your welcome :3