Use the table to answer the question.
Hours Biked Miles Traveled
1 12
2 26
3 30
4 48
Determine if the quantities in the data table are in a proportional relationship. If they do not have a proportional relationship, indicate why.
(1 point)
Responses
No, not all of the ratios are proportional or have equivalence.
No, not all of the ratios are proportional or have equivalence.
No, you can’t bike 12 miles in an hour.
No, you can’t bike 12 miles in an hour.
Yes, this data table has a proportional relationship.
Yes, this data table has a proportional relationship.
No, none of the ratios have equivalence.
No, none of the ratios have equivalence.
No, not all of the ratios are proportional or have equivalence.
Use the table to answer the question.
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 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.
Yes, the ratios are in a proportional relationship.
Yes, the ratios are in a proportional relationship.
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.
To determine if the quantities in the data table have a proportional relationship, we need to compare the ratios of the miles traveled to the hours biked.
Let's calculate the ratios:
For the first row: 12 miles / 1 hour = 12.
For the second row: 26 miles / 2 hours = 13.
For the third row: 30 miles / 3 hours = 10.
For the fourth row: 48 miles / 4 hours = 12.
Since the ratios obtained are not all the same, 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 examine the ratios between hours biked and miles traveled.
To find the ratio between hours biked and miles traveled, we divide the miles traveled by the hours biked. Let's calculate the ratios for each row in the table:
For the first row, the ratio is 12/1 = 12.
For the second row, the ratio is 26/2 = 13.
For the third row, the ratio is 30/3 = 10.
For the fourth row, the ratio is 48/4 = 12.
Since the ratios are not all the same, this means that the quantities in the data table do not have a proportional relationship. Therefore, the correct response is: "No, not all of the ratios are proportional or have equivalence."