Hours Biked Miles Traveled 1 12 2 26 3 30 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) O No, not all of the ratios are proportional or have equivalence. O No, none of the ratios have equivalence. Yes, this data table has a proportional relationship. No, you can't bike 12 miles in an hour.
No, you can't bike 12 miles in an hour.
To determine if the quantities in the data table are in a proportional relationship, we can check if the ratios between the hours biked and the miles traveled are consistent throughout the table.
Ratio for the first row: 12 miles / 1 hour = 12 miles/hour
Ratio for the second row: 26 miles / 2 hours = 13 miles/hour
Ratio for the third row: 30 miles / 3 hours = 10 miles/hour
Ratio for the fourth row: 48 miles / ? hours (not given)
Since the ratios are not consistent, the quantities in the data table are not in a proportional relationship. Therefore, the correct answer is: O No, not all of the ratios are proportional or have equivalence.
To determine if the quantities in the data table are in a proportional relationship, we need to check if the ratios between hours biked and miles traveled are consistent.
Let's calculate the ratios for each data point:
- For the first data point (1 hour biked, 12 miles traveled), the ratio is 12/1 = 12.
- For the second data point (2 hours biked, 26 miles traveled), the ratio is 26/2 = 13.
- For the third data point (3 hours biked, 30 miles traveled), the ratio is 30/3 = 10.
Since the ratios are not consistent, meaning they are not the same for all data points, we can conclude that the quantities in the data table do not have a proportional relationship.
Therefore, the correct answer is: No, the quantities in the data table do not have a proportional relationship.