A swimming pool holds 100m³ of water. A small hose adds 5 litres of fresh water per amount of water that is spilled per minute by a group of kids playing in the pool. The fresh water is mixed with chlorine with a concentration of 5mg per litre which instantly mixes with the water in the pool. The water that is spilled has the same concentration of chlorine as the rest of the pool. If C(t) is the overall amount of chlorine (in mg) in the pool at time t (in minutes), which of the following differential equations models this mixing problem? dC dt dt O dC dt OdC dt 25 = == -(1-20 000) 0.2 + = 25- 100 000 - C 20 000 C 20 000

Algebra: Structure And Method, Book 1
(REV)00th Edition
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Chapter7: Applying Fractions
Section7.3: Equations With Fractional Coefficient
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Question 2
A swimming pool holds 100m³ of water. A small hose adds 5 litres of fresh water per minute, which is exactly the
amount of water that is spilled per minute by a group of kids playing in the pool.
The fresh water is mixed with chlorine with a concentration of 5mg per litre which instantly mixes with the water in the
pool. The water that is spilled has the same concentration of chlorine as the rest of the pool.
If C(t) is the overall amount of chlorine (in mg) in the pool at time t (in minutes), which of the following differential
equations models this mixing problem?
O dC
dt
O dC
dt
O dC
dt
O dC
dt
=
с
25
- 100 000
-(1-20000)
с
20 000
= 0.2 +
25-
C
20 000
Transcribed Image Text:J tre Question 2 A swimming pool holds 100m³ of water. A small hose adds 5 litres of fresh water per minute, which is exactly the amount of water that is spilled per minute by a group of kids playing in the pool. The fresh water is mixed with chlorine with a concentration of 5mg per litre which instantly mixes with the water in the pool. The water that is spilled has the same concentration of chlorine as the rest of the pool. If C(t) is the overall amount of chlorine (in mg) in the pool at time t (in minutes), which of the following differential equations models this mixing problem? O dC dt O dC dt O dC dt O dC dt = с 25 - 100 000 -(1-20000) с 20 000 = 0.2 + 25- C 20 000
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