To determine if the quantities in the data table are in a proportional relationship, we need to check if the ratios of the hours to the amounts of money are equivalent.
Let's analyze the provided options based on common proportional relationships:
- Proportional Relationship: Two quantities A and B are proportional if the ratio A/B is constant.
- Ratios Given: The first option suggests a ratio of 3 hours to $27, which simplifies to \( \frac{27}{3} = 9 \) (that would be $9 per hour). The second option suggests a ratio of 1 hour to $9, which is also \( \frac{9}{1} = 9 \).
Since both ratios simplify to the same value ($9 per hour), they are proportional.
Given this reasoning:
C. Yes, the ratios are in a proportional relationship is the correct response.
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