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 data provided is:
- For 1 hour: $9
- For 2 hours: $18
- For 3 hours: $27
- For 4 hours: $36
Now, let's calculate the ratios of money to hours for each entry:
- 1 hour: 9/1 = 9
- 2 hours: 18/2 = 9
- 3 hours: 27/3 = 9
- 4 hours: 36/4 = 9
In all cases, the ratio of money to hours simplifies to 9, which is consistent across all entries.
Since the ratios are equivalent, this indicates that the quantities in the data table are indeed in a proportional relationship.
Therefore, the correct conclusion is:
Yes, the ratios are in a proportional relationship.