Question

Initially a pool contains 250 gallons of water. A hose is placed in the pool, and the water is turned on. The hose adds 5.4 gallons of water per minute. Write a linear model that represents the amount of water, V, in the pool as a function of time, t, in minutes.

Answer 1

5.4 T=46.9
It would take 46.9 minutes to fill up the pool

Answer 2

The amount of water in pool after t minutes V = 250 + 5.4 t

Explanation:

Amount of water in pool = 250 gallons.

The hose adds 5.4 gallons of water per minute.

Rate at which hose is adding water = 5.4 gallons per minute

We need to write a linear model that represents the amount of water, V, in the pool as a function of time, t, in minutes

We have

V = 250 + 5.4 t

The amount of water in pool after t minutes V = 250 + 5.4 t