Use the table to answer the question.
Time (min) 1 2 3 7 10
Water Used (gal) 5 10 15 35 50
Determine if the quantities in the data table re in a proportional relationship. If they do not have a proportional relationship, indicate why.
(1 point)
Responses
Yes, the data table has a proportional relationship.
Yes, the data table has a proportional relationship.
No, the ratios are not equivalent.
No, the ratios are not equivalent.
No, the ratio 7:35
is not proportional to the other ratios.
No, the ratio ratio of 7 to 35 is not proportional to the other ratios.
No, the table does not count consecutively.
No, the ratios are not equivalent.
Proportional Relationships in Tables Quick Check
5 of 55 of 5 Items
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 ratios are not equivalent.
No, the ratios are not equivalent.
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 $9 is not proportional.
Yes, the ratios are in a proportional relationshi
No, the ratios are not equivalent.
Question
Use the table to answer the question.
Hours Money ($)
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 ratios are not equivalent.
No, the ratios are not equivalent.
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.
Yes, the ratios are in a proportional relationshi
No, the ratios are not equivalent.
To determine if the quantities in the data table are in a proportional relationship, we need to check if the ratios of water used to time are equivalent for each data point.
Let's calculate the ratios for each data point:
- For time 1, the ratio is 5/1 = 5.
- For time 2, the ratio is 10/2 = 5.
- For time 3, the ratio is 15/3 = 5.
- For time 7, the ratio is 35/7 = 5.
- For time 10, the ratio is 50/10 = 5.
Since all the ratios are equal to 5, we can conclude that the quantities in the data table are in a proportional relationship. Therefore, the correct response is: Yes, the data table has a proportional relationship.
the answer from the answer choise?
whats the answer
To determine if the quantities in the data table are in a proportional relationship, we need to check if the ratios between the values are equivalent.
Let's calculate the ratios using the data given:
For the ratio of 1:5, we divide 5 by 1 and get 5.
For the ratio of 2:10, we divide 10 by 2 and get 5.
For the ratio of 3:15, we divide 15 by 3 and get 5.
For the ratio of 7:35, we divide 35 by 7 and get 5.
For the ratio of 10:50, we divide 50 by 10 and get 5.
Since all of the ratios are equal to 5, we can conclude that the data table has a proportional relationship.
Therefore, the correct response is: "Yes, the data table has a proportional relationship."