Question

Water is building up in a bathtub. After 2 minutes there are 12 gallons of water and after 4 minutes, there are 20 gallons of water. What us the average rate at which water is entering the bathtub from t=2 to t=4 minutes?

Answer 1

The average rate at which water is entering the bathtub from t=2 to t=4 minutes is 4 gallons per minute.

Step-by-step explanation:

To find the average rate at which water is entering the bathtub from t=2 to t=4 minutes, we need to calculate the change in water volume and divide it by the change in time.

Given that there are 12 gallons of water at t=2 minutes and 20 gallons of water at t=4 minutes, the change in water volume is 20 - 12 = 8 gallons.

The change in time is 4 - 2 = 2 minutes.

To find the average rate, divide the change in water volume by the change in time: 8 gallons / 2 minutes = 4 gallons per minute.

Answer 2

4 gallons

Step-by-step explanation:

20-12

4-2=2

8/2=4