Formulas with rational expressions are often used to model leaming. Many of these

Chapter 1, Problem 103

(choose chapter or problem)

Formulas with rational expressions are often used to model leaming. Many of these formulas model the proportion of correct responses in ferms of the number of trials of a panicular task. One such model. called a learning curve, is p _ 0.9x - 0.4 0.9x + 0.1' where Pis the proponion of correct responses after x trials. If P - 0, there are no correct responses. If P - I, all responses are correct. The graph of the rational Jonmda is shown. Use the Jonnula to solve Exerdses 103-104. p A Learning Curve 1.0 0.9 0.8 0.7 0.6 0.5 0.4 OJ 0.2 0.1 P - 0.9x - 0.4 - o.9x + 0.1 ~~~~~~~~~~~~~~~~X 1 2 3 4 5 6 7 8 9 10 I I 12 13 14 15 Number or Learning liials How many learning trials are necessary for 0.95 of the responses to be correct? Identify your solution as a point on the graph.