A tank contains 200 liters of fluid in which 30 grams of salt is dissolved. Brine containing 1 gram of salt per liter is then pumped into the tank at a rate of 4 L/min; the well-mixed solution is pumped out at the same rate. a) Find the number A(t) of grams of salt in the tank at time t. b) Repeat part a, assuming that pure water is pumped into the tank. 200 L

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
6th Edition
ISBN:9781337111348
Author:Bruce Crauder, Benny Evans, Alan Noell
Publisher:Bruce Crauder, Benny Evans, Alan Noell
ChapterA: Appendix
SectionA.2: Geometric Constructions
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A tank contains 200 liters of fluid in which 30 grams of salt is dissolved. Brine containing 1 gram of
salt per liter is then pumped into the tank at a rate of 4 L/min; the well-mixed solution is pumped out
at the same rate.
a) Find the number A(t) of grams of salt in the tank at time t.
b) Repeat part a, assuming that pure water is pumped into the tank.
200 L
Transcribed Image Text:A tank contains 200 liters of fluid in which 30 grams of salt is dissolved. Brine containing 1 gram of salt per liter is then pumped into the tank at a rate of 4 L/min; the well-mixed solution is pumped out at the same rate. a) Find the number A(t) of grams of salt in the tank at time t. b) Repeat part a, assuming that pure water is pumped into the tank. 200 L
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