Let $P ( t )$ Be the Performance Level of Someone Learning a Skill as Someone

question 50

Multiple Choice

Let $P ( t )$ be the performance level of someone learning a skill as a function of the training time $t$ . The graph of $P$ is called a learning curve. We propose the differential equation
$\frac { d P } { d t } = r ( G - P ( t ) )$ as a reasonable model for learning, where $r$ is a positive constant. Solve it as a linear differential equation.

• A) \(P ( t ) = G - C e ^ { - n }\)
• B) \(P ( t ) = G + C e ^ { - n }\)
• C) \(P ( t ) = G + C e ^ { n }\)
• D) \(P ( t ) = G C e ^ { n }\)
• E) \(P ( t ) = G - C e ^ { n }\)

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