A 40-gallon tank holds water with 20 pounds of dissolved salt. Salt water with 0.5 pounds of salt per gallon enters at 4 gal/min and the well-mixed solution drains at the same rate. If $S(t)$ is the salt in the tank in pounds, which differential equation models $S$?

Question

Accepted Answer

A. $\dfrac{dS}{dt} = 2 - 0.1S$

Answer

$\dfrac{dS}{dt} = 2 - 0.1S$

Answer

$\dfrac{dS}{dt} = 0.5 - 0.1S$

Answer

$\dfrac{dS}{dt} = 2 - 4S$

Answer

$\dfrac{dS}{dt} = 2 - 0.025S$

A 40-gallon tank holds water with 20 pounds of dissolved salt. Salt water with 0.5 pounds of salt per gallon enters at 4 gal/min and the well-mixed solution drains at the same rate. If $S(t)$ is the salt in the tank in pounds, which differential equation models $S$ ?

Explanation

Core Concept

Correct Answer

More Unit 7: Differential Equations practice questions

A 40-gallon tank holds water with 20 pounds of dissolved salt. Salt water with 0.5 pounds of salt per gallon enters at 4 gal/min and the well-mixed solution drains at the same rate. If S(t)S(t)S(t) is the salt in the tank in pounds, which differential equation models SSS?

Explanation

Core Concept

Correct Answer

More Unit 7: Differential Equations practice questions

A 40-gallon tank holds water with 20 pounds of dissolved salt. Salt water with 0.5 pounds of salt per gallon enters at 4 gal/min and the well-mixed solution drains at the same rate. If $S(t)$ is the salt in the tank in pounds, which differential equation models $S$ ?