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
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