Determine if the data in the table represents a proportional relationship. If not, indicate why.
hours biked-
1
2
3
4
Miles traveled-
12
26
30
48
(1 point)
Responses
Yes, the data represents a proportional relationship.
Yes, the data represents a proportional relationship.
Yes, the data represents equivalent ratios.
Yes, the data represents equivalent ratios.
No, the ratios are not all equivalent.
No, the ratios are not all equivalent.
No, the ratios cannot be simplified.
No, the data does not represent a proportional relationship. The ratios between the hours biked and miles traveled are not all equivalent.
whats the answer brushhhhhh
No, the data does not represent a proportional relationship.
from the answer choices
No, the ratios are not all equivalent.
To determine if the data in the table represents a proportional relationship, we need to check if the ratios between the hours biked and the miles traveled are consistent.
The table shows the following data:
hours biked: 1, 2, 3, 4
miles traveled: 12, 26, 30, 48
To find the ratio between hours biked and miles traveled, we divide the miles traveled by the corresponding hours biked:
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 are not all equal, the data in the table does not represent a proportional relationship. The second response option, "No, the ratios are not all equivalent," is the correct answer.