An empty 120-gallon pool is being filled with water from a hose. The water comes from in a at a constant rate of 4 gallons per minute. The volume of water in the pool is a function of time. How much water is in the pool after 2 minutes

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17-03-2022
Mathematics

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An empty 120-gallon pool is being filled with water from a hose. The water comes from in a at a constant rate of 4 gallons per minute. The volume of water in the pool is a function of time. How much water is in the pool after 2 minutes

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rspill6 rspill6 · Answer 1 · 2022-03-19T21:18:40+01:00

Answer:

8 gallons

Step-by-step explanation:

The function that would describe the amount of water in the pool at time x (in minutes) would be comprise of two terms:

1. An initial term, I, that accounts for water already present at the start of time, x, and

2. water added by a hose with a rate of 4 gallons/minute would constitute a term of 4x

The equation, f, that provides the gallons in the pool is given by:

f(x) = I + 4x, where I is the initial amount of water (gallons) and 4x is a rate of 4 gallons/min times the number of minutes the hose is functioning.

If the pool was initially empty, the amount of water in the pool after two minutes would be:

f(2) = 0gal + 4gal/min(2 minutes)

f(2) = 8 gallons