What is the Formula for Dilution with a Full Tank and Only Fresh Water Inflow?

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The formula for dilution in a full tank with only fresh water inflow is defined as dy/dt = rate in - rate out. In this context, if the tank is filled with salt and only fresh water is introduced, the rate in is considered zero when calculating the remaining salt concentration over time. Here, 'y' represents the amount of salt or its concentration at time 't', and the only scenario where the rate in is non-zero is when salt is actively flowing into the tank.

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neshepard
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I have a problem I finally answered, but it made me think. The formula is dy/dt=rate in - rate out for dilution. If a tank is full of salt and only fresh water flows in, are we treating rate in as 0 if we are looking to find how much salt is left at any time t?
 
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It depends on what y represents. If y is the amount of salt or concentration of salt at time t, then yes, the rate in is zero.
 
Yes, y represents the amount of salt and t is the time. So the only time there is a rate in for the formula is if there is actually, in this case salt, flowing in?
 

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