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 3 hours to $27 is not proportional.
No, the ratio of 3 hours to $27 is not proportional.
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.
Yes, the ratios are in a proportional relationship.
The response is incorrect for two reasons:
1. The previous responses have indicated that the quantities are not in a proportional relationship. Therefore, the statement saying that they are in a proportional relationship contradicts the previous responses.
2. The ratio of 1 hour to $9 is also not proportional, as stated correctly in one of the previous responses.
The correct response is: No, 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 compare the ratios.
In the given data table, the ratios are:
3 hours to $27 = 3/27
1 hour to $9 = 1/9
To be in a proportional relationship, the ratios must be equivalent.
In this case, the ratios 3/27 and 1/9 are not equivalent. Therefore, the quantities in the data table are not in a proportional relationship.
To determine if the quantities in a data table are in a proportional relationship, you need to check if the ratios between the two sets of quantities are equivalent or not.
In this case, the data table compares the hours worked to the amount earned:
3 hours - $27
1 hour - $9
To check if the ratios are proportional, you can calculate the ratios by dividing the hours worked by the amount earned:
For the first ratio:
3 hours / $27 = 1 hour / $9 = 0.111
Since both ratios yield the same value, 0.111, it indicates that the ratios are equivalent. Therefore, the quantities in the data table are in a proportional relationship.