Solve $\frac { d N } { d t } = 4 - 0.2 N$

question 131

Multiple Choice

Solve $\frac { d N } { d t } = 4 - 0.2 N$ , with N(0) = 0.

• A) \(N = 20 e ^ { - 0.2 t }\)
• B) \(N = 4 \left( 1 - e ^ { - 0.2 t } \right)\)
• C) \(N = 4 \left( e ^ { - 0.2 t } - 1 \right)\)
• D) \(N = 20 \left( 1 - e ^ { - 0.2 t } \right)\)

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Definitions:

Method of Elimination

A technique used in solving systems of equations where one variable is eliminated by adding or subtracting the equations.

System of Equations

A set of two or more equations with the same variables, solved together to find common solutions.

Method of Elimination

A strategy used to solve systems of equations, where you eliminate one variable to solve for another.

Method of Elimination

A technique used in algebra to solve systems of equations by canceling out one or more variables.