A tank with a capacity of 700 gal originally contains 100 gal of water with 100 lb of salt in solution. Water containing 2 lb of salt per gallon is entering at a rate of 4 gal/min, and the mixture is allowed to flow out of the tank at a rate of 6 gal/min. Let Q(t) be the amount of salt (in pounds) inside the tank at time >0. ONLY SET UP the initial value problem that Q(t) needs to satisfy. You don't need to solve this problem.

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
Chapter2: Graphical And Tabular Analysis
Section2.1: Tables And Trends
Problem 1TU: If a coffee filter is dropped, its velocity after t seconds is given by v(t)=4(10.0003t) feet per...
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A tank with a capacity of 700 gal originally contains 100 gal of water with 100 lb of salt in solution. Water
containing 2 lb of salt per gallon is entering at a rate of 4 gal/min, and the mixture is allowed to flow out of the tank at a
rate of 6 gal/min. Let Q(t) be the amount of salt (in pounds) inside the tank at time t>0. ONLY SET UP the initial
value problem that Q(t) needs to satisfy. You don't need to solve this problem.
Transcribed Image Text:A tank with a capacity of 700 gal originally contains 100 gal of water with 100 lb of salt in solution. Water containing 2 lb of salt per gallon is entering at a rate of 4 gal/min, and the mixture is allowed to flow out of the tank at a rate of 6 gal/min. Let Q(t) be the amount of salt (in pounds) inside the tank at time t>0. ONLY SET UP the initial value problem that Q(t) needs to satisfy. You don't need to solve this problem.
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