Question 311311: 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. The average score for the group, f(t), after t months was modeled by the function
F(t) = 88-15 ln(t+1), 0 ≤ t ≤ 12
Answer the following questions and show all work to obtaining that answer.
1. What was the average score on the original exam?
2. What was the average score, to the nearest tenth, after 2 months? 4 months? 6 months? 1 year?
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.
Answer by fractalier(6550)   (Show Source):
You can put this solution on YOUR website! 1) On the original exam, t = 0. So f(0) = 88 - 15ln(0+1) = 88
2) After time > 0, you merely plug in for t and calculate.
f(2) = 71.5
f(4) = 63.9
f(6) = 58.8
f(12) = 49.5
3) Use a graphing calculator for best results.
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