Hours Money (S) 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 relationsh indicate why. (1 point) No, the ratio of 3 hours to $27 is not proportional. O Yes, the ratios are in a proportional relationship. No, the ratio of 1 hour to $9 is not proportional. No, the ratios are not equivalent.
No, the ratios of hours to money are not in a proportional relationship.
To determine if the quantities in the data table are in a proportional relationship, we need to check if the ratios between hours and money are consistent.
Let's calculate the ratios for each pair of hours and money:
1 hour / $9 = 1/9 = 0.111
2 hours / $18 = 2/18 = 0.111
3 hours / $27 = 3/27 = 0.111
4 hours / $36 = 4/36 = 0.111
As we can see, all the ratios are equal, which means that the quantities in the data table are in a proportional relationship.
Therefore, the correct answer is: Yes, the ratios are in a proportional relationship.
To determine if the quantities in the data table are in a proportional relationship, we need to check if the ratios between hours and money are consistent.
Let's calculate the ratios for each pair of hours and money:
- For 1 hour, the corresponding money is $9. The ratio is 9/1 = 9.
- For 2 hours, the corresponding money is $18. The ratio is 18/2 = 9.
- For 3 hours, the corresponding money is $27. The ratio is 27/3 = 9.
- For 4 hours, the corresponding money is $36. The ratio is 36/4 = 9.
As we can see, the ratios between hours and money are all equal to 9. This means that the quantities in the data table are in a proportional relationship. Therefore, the correct answer is:
O Yes, the ratios are in a proportional relationship.