A clogged bathtub drains at a constant rate. The amount of water in the bathtub changes by - 3.75 gallons in one hour. What is the change in the amount of water in the bathtub after 13 hour?

Change in the amount of water in the bathtub after - 48.75 gallons. Negative sign means water get reduce by 48.75 gallons in bathtub.

Solution:

Given that

A clogged bathtub drains at a constant rate.

The amount of water in the bathtub changes by - 3.75 gallons in one hour.

Need to determine change in the amount of water in the bathtub after 13 hour.

Change in amount of water in bathtub in one hour = - 3.75 gallons

As given that clogged bathtub drains at a constant rate, so

Change in amount of water in bathtub in 13 hours = 13 x Change in amount of water in bathtub in 1 hours

=> Change in amount of water in bathtub in 13 hours = 13 x (-3.75) = - 48.75 gallons

Hence change in the amount of water in the bathtub after - 48.75 gallons. Negative sign means water get reduce by 48.75 gallons in bathtub.