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Question

As you know, when a course ends, students start to forget the material they have learned. One model (called the Ebbinghaus model) assumes that the rate at which a student forgets material is proportional to the difference between the material currently remembered and some positive constant, a. Describe the practical meaning (in terms of the amount remembered) of the constants in the solution y=f(t).

Solution

VerifiedAnswered 2 years ago

Answered 2 years ago

Step 1

1 of 2As $t\rightarrow \infty$ then $e^{-kt}\rightarrow 0$, therefore $y\rightarrow a$.

Here $a$ represents the fraction of material that is remembered in the long run. The constant $k$ tells us about the rate at which material is forgotten.

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