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Learning Curve A learning curve is a graph of a function P(t) that measures the performance of someone learning a skill as a function of the training time t. At first, the rate of learning is rapid. Then, as performance increases and approaches a maximal value M, the rate of learning decreases. It has been found that the function
where k and C are positive constants and C < M is a reasonable model for learning.
- (a) Express the learning time t as a function of the performance level P.
- (b) For a pole-vaulter in training, the learning curve is given by
where P(t) is the height he is able to pole-vault after t months. After how many months of training is he able to vault 12 ft?
- (c) Draw a graph of the learning curve in part (b).
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Chapter 4 Solutions
Precalculus: Mathematics for Calculus (Standalone Book)
- Algebra & Trigonometry with Analytic GeometryAlgebraISBN:9781133382119Author:SwokowskiPublisher:Cengage