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.
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9 months ago
8 months ago
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.
8 months ago
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.