Proportional Relationships in Tables Quick Check
3 of 53 of 5 Items

Question
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 table does not count consecutively.
No, the table does not count consecutively.

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.

Yes, the data table has a proportional relationship.
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 between the values are equivalent. In this case, we can compare the ratios between the time (min) and water used (gal) values.
To find the ratios, we divide the water used (gal) by the time (min) for each data point. Let's calculate the ratios for each data point:
For time (min) = 1, water used (gal) = 5, ratio = 5/1 = 5/1 = 5
For time (min) = 2, water used (gal) = 10, ratio = 10/2 = 5
For time (min) = 3, water used (gal) = 15, ratio = 15/3 = 5
For time (min) = 7, water used (gal) = 35, ratio = 35/7 = 5
For time (min) = 10, water used (gal) = 50, ratio = 50/10 = 5
Since all the ratios are equal to 5, the quantities in the data table are in a proportional relationship. Therefore, the correct answer is:
Yes, the data table has a proportional relationship.