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 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 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 water used and the time are equivalent.
One way to do this is to calculate the ratios and see if they are consistent. We can choose any two rows of data and divide the water used by the time to find the ratio. Here, let's choose the second and fourth rows:
Ratio for row 2 (2 minutes): 10 gal / 2 min = 5 gal/min
Ratio for row 4 (7 minutes): 35 gal / 7 min = 5 gal/min
Since both ratios are equal to 5 gal/min, we can conclude that the ratios between the water used and time in this table are equivalent. Therefore, the data table does have a proportional relationship.
So, the correct response is:
Yes, the data table has a proportional relationship.