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.
u sure
Yes, I am sure. The ratios of water used to time are not consistent throughout the table. For example, the ratio of water used to time for the first two data points is 5:1, but then it changes to 5:2, 5:3, and 5:7 for the subsequent data points. Therefore, the data table does not show a proportional relationship.
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 between the time and the amount of water used:
For time 1 to time 2: 5/10 = 0.5
For time 2 to time 3: 10/15 = 0.67
For time 3 to time 7: 15/35 = 0.43
For time 7 to time 10: 35/50 = 0.7
Since the ratios are not all equivalent, we can conclude that the quantities in the data table do not have a proportional relationship.
So the correct response is: No, the ratios are not equivalent.