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 ratio of 1 hour to $9 is not proportional.
No, the ratio of 1 hour to $9 is not proportional.
No, the ratios are not equivalent.
No, the ratios are not equivalent.
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 in a proportional relationship. This is because the ratio of 1 hour to $9 is not the same as the ratio of 2 hours to $18, and the ratio of 3 hours to $27 is not the same as the ratio of 4 hours to $36. In a proportional relationship, the ratios between the two quantities should stay constant.
No, the ratios are not in a proportional relationship. To check for proportionality, we compare the ratios of hours to money for each row. In a proportional relationship, the ratios should be equivalent. However, in this case, we see that the ratio of 1 hour to $9 is not equivalent to the ratio of 3 hours to $27 or to the ratio of 4 hours to $36. Therefore, the quantities in the data table 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 remain constant.
First, let's calculate the ratio for each pair of hours and money:
- For 1 hour and $9: the ratio is 9/1 = 9/1 = 9.
- For 2 hours and $18: the ratio is 18/2 = 9.
- For 3 hours and $27: the ratio is 27/3 = 9.
- For 4 hours and $36: the ratio is 36/4 = 9.
Since all the ratios are equal to 9, we can conclude that the quantities in the data table are in a proportional relationship.