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

question 149

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

---

Definitions:

Letters

Characters or symbols used in written language to represent sounds or to form words.

Number

A mathematical object used to count, measure, and label.

Categorical Syllogism

A form of deductive reasoning consisting of three propositions that are categorical in nature, presenting a relationship between a subject and a predicate.

Minor Term

in syllogistic logic, the term that appears in both the conclusion and one premise of a syllogism, but not the major premise.