Question

Is the constant of proportionality in gallons per minute the same for every row? What does this say about the relationship of the amount of water to time?

Answer 1

The numbers prove that there is a proportional relationship between the gallons of water and the time in minutes. The bathtub fills at a constant rate.

Explanation:

Answer 2

Yes, the constant of proportionality is the same for the three rows.

The relationship between amount of water (W) in terms of time (t) can be written as:

W = 16.5 t

Explanation:

To find the constant of proportionality, find the number of gallons per minute for each row:

First row: 16.5 gal in 1 minute means: 16.5 Gal/min

Second row: 24.75 gallons in 1.5 minutes means 24.75/1.5 = 16.6 Gal/min (same proportionality as above)

Third row: 33 gallons in 2 minutes means: 33/2 = 16.5 Gal/min (again same proportionality)

Then: Yes, the constant of proportionality is the same for the three rows.

Therefore the amount (W) of water in gallons per time (t) in minutes can be written as the product of 16.5 times time (t):

W = 16.5 t