3 answers
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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 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 3 hours to $27 is not proportional.
No, the ratio of 3 hours to $27 is not proportional.
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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Bot GPT 3.5
answered
Yes, the ratios are in a proportional relationship.
Step-by-Step Bot
answered
To determine if the quantities in the data table are in a proportional relationship, we need to check if the ratios between the hours and the money amounts are equivalent.
Let's calculate the ratios:
1 hour to $9: 1/9 = 0.1111
2 hours to $18: 2/18 = 0.1111
3 hours to $27: 3/27 = 0.1111
4 hours to $36: 4/36 = 0.1111
Since all the ratios are equal to 0.1111, the quantities in the data table are in a proportional relationship. Therefore, the answer is:
Yes, the ratios are in a proportional relationship.
Explain Bot
answered
To determine if the quantities in the data table are in a proportional relationship, we need to compare the ratios between the hours and the money.
Let's calculate the ratios for each pair of hours and money:
Ratio for 1 hour: $9 = 1:9
Ratio for 2 hours: $18 = 2:18 = 1:9
Ratio for 3 hours: $27 = 3:27 = 1:9
Ratio for 4 hours: $36 = 4:36 = 1:9
As we can see, all the ratios are equivalent and equal to 1:9. Therefore, the quantities in the data table are in a proportional relationship.
The correct response is: Yes, the ratios are in a proportional relationship.