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 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.
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No, the ratio of 7 to 35 is not proportional to the other ratios.
No, the quantities in the data table do not have a proportional relationship. This is because the ratio of 7:35 is not proportional to the other ratios.
To determine if the quantities in the data table are in a proportional relationship, we need to see if the ratios of water used to time are equivalent for each entry in the table.
We can find the ratio for each entry by dividing the amount of water used by the corresponding time. Let's calculate the ratios:
For time 1: 5/1 = 5
For time 2: 10/2 = 5
For time 3: 15/3 = 5
For time 7: 35/7 = 5
For time 10: 50/10 = 5
As we can see, all the ratios are equal to 5. Therefore, the data table does have a proportional relationship because the ratio of water used to time is consistent for each entry.
The correct response is:
Yes, the data table has a proportional relationship.