SOLUTION: Students participating in a psychology experiment and took MHF4U were given an exam. Every month for a year after the exam, the students were retested to see how much of the materi
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Question 1162212: Students participating in a psychology experiment and took MHF4U were given an exam. Every month for a year after the exam, the students were retested to see how much of the material they remembered. The average scores for the group are given by the human memory model:
f(t)= 75 - 6 log (t+1) / log e (When e is the number in your calculator and t is the time in months
0 < t < 12
What was the average score on the original exam(t=0)?
When was the average score equal to 61.2%?
Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!
The function doesn't provide the original average score because you excluded zero from the domain of the function when you specified that 
is strictly greater than zero. Your function is not defined at 
Solve
}{\log(e)}\ =\ 61.2)
for
By the way, the next time you want to use this model, use the natural logs. Simpler formula:
\ =\ 75\ -\ 6\cdot\ln(t\,+\,1))
John
My calculator said it, I believe it, that settles it
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