Homework: 1-2 Save Score: 0.5 of 1 pt 21 of21(21 complete) HW Score: 97.62%, 20.

Question

Homework: 1-2 Save Score: 0.5 of 1 pt 21 of21(21 complete) HW Score: 97.62%, 20.5 of 21 pts 1.2.103 E Question Help 0.9x-0.8 learning trials are necessary. The model P"6 , 1 is a learning curve where P is the proportion of correct responses after x trials. If P = 0, there are no correct responses. " P-1, all responses are correct. The graph of the rational formula is shown below How many learming trials are necessary for 0.91 of the responses to be correct? Identify your solution as a point on the graph 0.4 0.2 6 8 10 12 14 16 18 20 Number of Leaming Trials Enter your answer in the answer box and then click Check Answer part remaining Clear All Check Answer

Explanation / Answer

P = ( 0.9x - 0.8 ) / ( 0.9 x + 0.1 )

plugging P = 0.91

0.91 = ( 0.9x - 0.8 ) / ( 0.9 x + 0.1 )

multiplying both sides by ( 0.9 x + 0.1 )

0.91 ( ( 0.9 x + 0.1 ) = (0.9x - 0.8 )

x = 11

hence, 11 learning trials are necessary

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