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.
No, the ratio 7:35 is not proportional to the other ratios.
No, the ratio ratio of 7:35 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 data table does not have a proportional relationship.
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 consistent.
To do this, we need to calculate the ratios for each pair of time and water used values:
For time 1 and water used 5: ratio = 5/1 = 5
For time 2 and water used 10: ratio = 10/2 = 5
For time 3 and water used 15: ratio = 15/3 = 5
For time 7 and water used 35: ratio = 35/7 = 5
For time 10 and water used 50: ratio = 50/10 = 5
As we can see, all the ratios are equal to 5. Hence, the quantities in the data table are in a proportional relationship.
Note: In a proportional relationship, multiplying one quantity by a constant will give you the other quantity. In this case, multiplying the time by 5 gives us the water used. Hence, the relationship is proportional.