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.
No, the ratio of 3 hours to $27 is not proportional.
No, the ratio of 3 hours to $27 is not proportional.
No, the ratio of 1 hour to $9 is not proportional.
No, the ratio of 1 hour to $9 is not proportional.
Yes, the ratios are in a proportional relationship.
Yes, the ratios are in a proportional relationship.
No, the ratios are not equivalent.
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 amounts are equivalent for all values. A proportional relationship means that the ratios are the same.
Let's calculate the ratios for each given pair of hours and money:
For the first pair, 1 hour to $9, the ratio is 9/1 = 9.
For the second pair, 2 hours to $18, the ratio is 18/2 = 9.
For the third pair, 3 hours to $27, the ratio is 27/3 = 9.
For the fourth pair, 4 hours to $36, the ratio is 36/4 = 9.
Since the ratios for all pairs of hours and money are equal (9), we can conclude that the quantities in the data table are in a proportional relationship.