To determine if the quantities in the data table are in a proportional relationship, we can look at the ratios of the money to the hours for each entry.
The ratios are:
- For 1 hour: $9 → Ratio = \( \frac{9}{1} = 9 \)
- For 2 hours: $18 → Ratio = \( \frac{18}{2} = 9 \)
- For 3 hours: $27 → Ratio = \( \frac{27}{3} = 9 \)
- For 4 hours: $36 → Ratio = \( \frac{36}{4} = 9 \)
Since all ratios (money per hour) equal \( 9 \), we can conclude that the quantities are in a proportional relationship.
Therefore, the correct answer is: A: Yes, the ratios are in a proportional relationship.
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