Question 311016
Students in a psychology class took a final examination. As part of an experiment to see how much of the course content they remembered over time, they took equivalent forms of the exam in monthly intervals thereafter.
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The average score for the group, f(t), after t months was modeled by the function
F (t) = 88-15 In(t + 1), 0 ≤ t ≤ 12
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Answer the following questions and show all work to obtaining that answer.
1. What was the average score on the original exam?
f(0) = 88 - 15ln(1)
= 88 - 15*0
= 88
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2. What was the average score, to the nearest tenth, 
after 
2 months : f(2) = 88-15ln(2) 
4 months : f(4) = 88-15ln(4)
6 months : f(6) = 88-15ln(6) 
1 year?  : f(12) = 88-15ln(12) = 50.73
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3. Sketch the graph of f (either by hand or with a graphing utility). 
Describe what the graph indicates in terms of the material retained by the students. You do not need to include a picture of the graph in your assignment.
Note: ln represents the natural logarithm in the function.
{{{graph(400,300,-10,15,-10,95,88-15*ln(x))}}}
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Cheers,
Stan H.
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