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

question 24

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

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