Question
Suppose that you are given the task of learning 100% of a block of knowledge. Human...
Suppose that you are given the task of learning 100% of a block of knowledge. Human nature is such that we retain only a percentage P of knowledge t weeks after we have learned it. The Ebbinghaus learning model asserts that P is given by P(t)=Q+(100−Q)e^kt where Q is the percentage that we would never forget and k is a constant that depends on the knowledge learned. Suppose that Q=25 and k=0.8
Complete parts (a) through (e) below.
|
a) Find the percentage retained after 0 weeks, 1 week, 2 weeks, 6 weeks, and 10 weeks. |
b) Find lim P (t)
c) Sketch the graph of P
d) Find the rate of change of P (t) with respect to time (t)
e) Interpret the meaning of the derivative
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