Determine if the data in the table represents a proportional relationship. If not, indicate why.
Hours Biked Miles Traveled
1,2,3,4 / 12,26,30,48
To determine if the data in the table represents a proportional relationship, we need to check if the ratio between Hours Biked and Miles Traveled is constant.
Calculating the ratio for the given values:
For 1 hour biked, the miles traveled are 12.
For 2 hours biked, the miles traveled are 26.
For 3 hours biked, the miles traveled are 30.
For 4 hours biked, the miles traveled are 48.
Ratios:
1/12 = 0.0833...
2/26 = 0.0769...
3/30 = 0.1
4/48 = 0.0833...
The ratios are not constant, as they vary between approximately 0.0769 and 0.1. Therefore, the data in the table does not represent a proportional relationship.