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.
To determine if quantities are in a proportional relationship, we need to compare the ratios of the quantities. In this case, the ratio of 1 hour to $9 is 1:9, and the ratio of 2 hours to $18 is 2:18, which simplifies to 1:9 as well. However, the ratio of 3 hours to $27 is 3:27, which simplifies to 1:9 also.
Since all the ratios are equivalent, the quantities are in a proportional relationship.
whats the answer
Yes, the ratios are in a proportional relationship.
No, the ratios are not in a proportional relationship.
To determine if the quantities are in a proportional relationship, we need to look at the ratio of the hours to the money.
If the ratios are equivalent for all values in the table, then the quantities are in a proportional relationship. However, in this case, the ratio of 1 hour to $9 is not the same as the ratio of 2 hours to $18, 3 hours to $27, or 4 hours to $36.
Therefore, the quantities in the data table are not in a proportional relationship.
To determine if the quantities in the data table are in a proportional relationship, we need to check if the ratios between the hours and the money remain constant.
To do this, we can calculate the ratio of each data point. The ratio is obtained by dividing the money ($) by the corresponding number of hours. Let's calculate the ratio for each data point:
1 hour to $9: 9/1 = 9
2 hours to $18: 18/2 = 9
3 hours to $27: 27/3 = 9
4 hours to $36: 36/4 = 9
As we can see, the ratio of all data points is always 9. This means that the ratios between hours and money remain constant, indicating that the quantities in the data table are in a proportional relationship.
Therefore, the correct response would be: "Yes, the ratios are in a proportional relationship."