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 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.
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 set of data points.
To do this, we calculate the ratios of water used to time for each pair of data points:
For (1,5) and (2,10), the ratio is 5/1 = 5.
For (2,10) and (3,15), the ratio is 10/2 = 5.
For (3,15) and (7,35), the ratio is 15/3 = 5.
For (7,35) and (10,50), the ratio is 35/7 = 5.
Since all the ratios are equal to 5, the quantities in the data table are in a proportional relationship.
Therefore, the correct response is: "Yes, the data table has a proportional relationship."