Proportional Relationships in Tables Quick Check 5 of 55 of 5 Items Question Use the table to answer the 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. No, the ratio of 3 hours to $27 is not proportional. No, the ratio of 3 hours to $27 is not proportional. Yes, the ratios are in a proportional relationship.
No, the ratios are not equivalent.
To determine if the quantities in the data table are in a proportional relationship, we need to check if the ratios between the hours and money are equivalent.
We can start by finding the ratios for each pair of values. Let's calculate the ratios:
- For the first row: 1 hour to $9, the ratio is 1:9.
- For the second row: 2 hours to $18, the ratio is 2:18. Simplified, this ratio is 1:9.
- For the third row: 3 hours to $27, the ratio is 3:27. Simplified, this ratio is 1:9.
- For the fourth row: 4 hours to $36, the ratio is 4:36. Simplified, this ratio is also 1:9.
Since all the ratios are equivalent (1:9), we can conclude that the quantities in the data table are indeed in a proportional relationship.
Therefore, the correct response is: Yes, the ratios are in a proportional relationship.