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 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 ratios are not equivalent.
No, the ratios are not equivalent.
No, the table does not count consecutively.
No, the table does not count consecutively.
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 compare the ratios between time and water used.
First, let's calculate the ratios for each pair of values:
- Ratio for 1 min to 5 gal: 1:5 = 1/5
- Ratio for 2 min to 10 gal: 2:10 = 2/10 = 1/5
- Ratio for 3 min to 15 gal: 3:15 = 3/15 = 1/5
- Ratio for 7 min to 35 gal: 7:35 = 7/35 = 1/5
- Ratio for 10 min to 50 gal: 10:50 = 10/50 = 1/5
As we can see, all the ratios are equal to 1/5. This means that the ratios between time and water used are constant and consistent, indicating a proportional relationship.
Therefore, the answer is: Yes, the data table has a proportional relationship.