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A large pool has a faucet to allow water to enter the pool and a drain to allow water to leave the pool.

Each minute, the faucet allows 10 3/4 gallons of water to enter the pool, and the drain allows 12 1/3 gallons to leave the pool.

What is the change in the amount of water in the pool after 112 minutes?

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Sagot :

The change in the amount of water in the pool is the difference between the amount of water that enters and leaves the pool

Change in volume of water in the pool after 112 minutes is [tex]\underline{-117\frac{1}{3}}[/tex] gallons

Reason:

The given parameters are;

The volume volume of entering the pool = 10 3/4 gallons per minute

The volume of water leaving the pool = 12 1/3 gallons per minute

Required:

The change in the amount of water in the pool after 112 minute

Solution:

The volume of water, V₁, that enters the pool in 112 minute is given as follows;

  • V₁ = 10 3/4 × 112 = 1,204

The volume of water, that enters the pool, V₁ = 1,204 gallons

The volume of water, V₂, that  leaves the pool in 112 minute is given as follows;

  • V₂ = 12 1/3 × 112 = 1,381[tex].\overline 3[/tex]

The volume of water, that that leaves the pool, V₂ = 1,381[tex].\overline 3[/tex] gallons

The change in the amount of water in the pool after 112 minutes, ΔV, is given as follows;

ΔV = V₁ - V₂

  • ΔV = 1,204 - 1,381[tex].\overline 3[/tex] = -177[tex].\overline 3[/tex] = -(117 1/3)

Change in volume of water in the pool after 112 minutes, ΔV = [tex]\underline{-117\frac{1}{3}}[/tex] gallons

Learn more here:

https://brainly.com/question/17037198

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