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.
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 ratios are not equivalent.
No, the data table does not have a proportional relationship. The ratio 7:35 is not proportional to the other ratios in the table.
To determine if the quantities in the data table are in a proportional relationship, you need to check if the ratios between the values are equivalent.
To do this, divide each value of "Water Used" by the corresponding value of "Time".
For example,
- For the first row, 5 divided by 1 is 5.
- For the second row, 10 divided by 2 is also 5.
- For the third row, 15 divided by 3 is 5.
- For the fourth row, 35 divided by 7 is 5.
- For the fifth row, 50 divided by 10 is 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.