Question

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?

Answer 1

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.