Suppose a 1000L tank contains 400 L of fresh water at time t = 0. At that time, a salt water solution of concentration 2g/L enters the tank at the rate of 4 L/min. The well-mixed solution flows out of the tank at the rate of 1L/min. Which of the following initial value problems correctly model the amount M(t) of salt in the tank at time t?

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section: Chapter Questions
Problem 15T
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Suppose a 1000 L tank contains 400 L of fresh water at time t= 0. At that time, a salt water solution of concentration 2 g/L enters the tank at the rate of 4 L/mín. The well-mixed solution flows out of the tank at the rate of 1 L/mín. Which of the
following initial value problems correctly model the amount M(t) of salt in the tank at time t?
M
400 + 34
= 8, M(0) = 0
dt
M
dt
= 8, M(0) = 0
400t
M
= 4, M(0) = 0
dt
400t
M
+
400 + 3t
= 4, M(0) - 0
dt
O None of the others
Transcribed Image Text:Suppose a 1000 L tank contains 400 L of fresh water at time t= 0. At that time, a salt water solution of concentration 2 g/L enters the tank at the rate of 4 L/mín. The well-mixed solution flows out of the tank at the rate of 1 L/mín. Which of the following initial value problems correctly model the amount M(t) of salt in the tank at time t? M 400 + 34 = 8, M(0) = 0 dt M dt = 8, M(0) = 0 400t M = 4, M(0) = 0 dt 400t M + 400 + 3t = 4, M(0) - 0 dt O None of the others
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