Proportional Relationships in Tables Quick Check
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Question
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, 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.

No, you can’t bike 12 miles in an hour.
No, you can’t bike 12 miles in an hour.

Yes, this data table has a proportional relationship.
Yes, this data table has a proportional relationship.
No, not all of the ratios are proportional or have equivalence.
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, you need to check if the ratios between the hours biked and miles traveled are equivalent for all the entries in the table.
To do this, you can calculate the ratios by dividing the miles traveled by the hours biked for each row in the table:
Row 1: 12 / 1 = 12
Row 2: 26 / 2 = 13
Row 3: 30 / 3 = 10
Row 4: 48 / 4 = 12
Looking at the ratios, we can see that they are not all equal. For example, the ratio for row 1 is 12, while the ratio for row 2 is 13. Since the ratios are not equivalent for all the entries, we can conclude that the quantities in the data table do not have a proportional relationship.
Therefore, the correct response is:
No, not all of the ratios are proportional or have equivalence.