Proportional Relationships in Tables Quick Check
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Question
Use the table to answer the question.
Hours Money ($)
1 9
2 18
3 27
4 36
Determine if the quantities in the data table are in a proportional relationship. If they are not in a proportional relationship, indicate why.
(1 point)
Responses
No, the ratio of 3 hours to $27 is not proportional.
No, the ratio of 3 hours to $27 is not proportional.
No, the ratios are not equivalent.
No, the ratios are not equivalent.
Yes, the ratios are in a proportional relationship.
Yes, the ratios are in a proportional relationship.
No, the ratio of 1 hour to $9 is not proportional.
No, the ratio of 1 hour to $9 is not proportional.
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No, the ratios are not equivalent.
Yes, the ratios are in a proportional relationship.
To determine if the quantities in the data table are in a proportional relationship, we need to check if the ratio of the hours to the money is consistent throughout the table.
To find the ratio of hours to money for each row, we divide the money value by the corresponding hours value.
For the first row:
Ratio = 9 / 1 = 9
For the second row:
Ratio = 18 / 2 = 9
For the third row:
Ratio = 27 / 3 = 9
For the fourth row:
Ratio = 36 / 4 = 9
Since the ratio of hours to money is consistent at 9 for each row, we can conclude that the quantities in the data table are in a proportional relationship.
Therefore, the correct answer is:
Yes, the ratios are in a proportional relationship.