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 answer

The quantities in the data table do not have a proportional relationship.

To determine if two quantities are proportional, their ratio should remain the same throughout the data set.

In this case, if we calculate the ratio of water used to time for each data point, we get:

Ratio for 1st data point: 5/1 = 5
Ratio for 2nd data point: 10/2 = 5
Ratio for 3rd data point: 15/3 = 5
Ratio for 4th data point: 35/7 = 5
Ratio for 5th data point: 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.