Determine if the data in the table represents a proportional relationship. If not, indicate why.

Hours Biked | Miles Traveled
1 | 12
2 | 26
3 | 30
4 | 48
A. Yes, the data represents a proportional relationship.
B. Yes, the data represents equivalent ratios.
C. No, the ratios are not all equivalent.
D. No, the ratios cannot be simplified.

1 answer

C. No, the ratios are not all equivalent.

To determine if the data represents a proportional relationship, we need to check if the ratios of Hours Biked to Miles Traveled are constant.

1 hour : 12 miles = 1:12
2 hours: 26 miles = 1:13
3 hours: 30 miles = 1:10
4 hours: 48 miles = 1:12

Since the ratios are not all equivalent, the data does not represent a proportional relationship.