Use the table to answer the question.
Hours Biked Miles Traveled
1 12
2 26
3 30
4 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)
Responses
No, you can’t bike 12 miles in an hour.
No, you can’t bike 12 miles in an hour.
No, none of the ratios have equivalence.
No, none of the ratios have equivalence.
No, not all of the ratios are proportional or have equivalence.
No, not all of the ratios are proportional or have equivalence.
Yes, this data table has a proportional relationship.
Yes, this data table has a proportional relationship.
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No, this data table does not have a proportional relationship. The ratios of hours biked to miles traveled are not consistent. For example, it takes 1 hour to bike 12 miles, but it takes 2 hours to bike 26 miles.
No, this data table does not have a proportional relationship.
To determine if the quantities in the data table are in a proportional relationship, we need to check if the ratios of miles traveled to hours biked are consistent.
Looking at the table, we can calculate the ratios for each row:
For the first row, the ratio of miles traveled to hours biked is 12/1 = 12.
For the second row, the ratio is 26/2 = 13.
For the third row, the ratio is 30/3 = 10.
For the fourth row, the ratio is 48/4 = 12.
Since the ratios are not consistent, meaning they do not have the same value for each row, we can conclude that the quantities in the data table are not in a proportional relationship.
Therefore, the correct response is:
No, not all of the ratios are proportional or have equivalence.