A tank initially holds 100 gallons of Kool-Aid solution containing 1lb of dissolved Kool-Aid mix. At t = 0 another Kool-Aid solution containing 2lb of mix per gallon is poured into the tank at a rate of 3gal/min, while the well-stirred mixture leaves the tank at a rate of 8gal/min. Write down a function Q(t) that returns the amount of Kool-Aid mix in the tank at any time t. At what time does the mixture in the tank contain exactly 2lb of Kool-Aid mix?
A tank initially holds 100 gallons of Kool-Aid solution containing 1lb of dissolved Kool-Aid mix. At t = 0 another Kool-Aid solution containing 2lb of mix per gallon is poured into the tank at a rate of 3gal/min, while the well-stirred mixture leaves the tank at a rate of 8gal/min. Write down a function Q(t) that returns the amount of Kool-Aid mix in the tank at any time t. At what time does the mixture in the tank contain exactly 2lb of Kool-Aid mix?
Chapter3: Polynomial Functions
Section3.5: Mathematical Modeling And Variation
Problem 7ECP: The kinetic energy E of an object varies jointly with the object’s mass m and the square of the...
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Transcribed Image Text:(5) A tank initially holds 100 gallons of Kool-Aid solution containing 1lb of dissolved Kool-Aid mix.
At t = 0 another Kool-Aid solution containing 2lb of mix per gallon is poured into the tank at a
rate of 3gal/min, while the well-stirred mixture leaves the tank at a rate of 8gal/min. Write down
a function Q(t) that returns the amount of Kool-Aid mix in the tank at any time t. At what time
does the mixture in the tank contain exactly 2lb of Kool-Aid mix?
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