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
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 table does not count consecutively.
No, the ratios are not equivalent.
No, the ratios are not equivalent.
Yes, the data table has a proportional relationship.
No, the quantities in the data table do not have a proportional relationship.
No, the data table does not have a proportional relationship. The ratio of 7:35 is not proportional to the other ratios in the table.
To determine if the quantities in the data table are in a proportional relationship, we need to check if the ratios between the values remain the same as the inputs change.
Let's calculate the ratios for each data point:
For time (min) 1, the ratio is 5:1 = 5.
For time (min) 2, the ratio is 10:2 = 5.
For time (min) 3, the ratio is 15:3 = 5.
For time (min) 7, the ratio is 35:7 = 5.
For time (min) 10, the ratio is 50:10 = 5.
As we can see, the ratios are all equal to 5. Therefore, the quantities in the data table are in a proportional relationship.