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A Professor Discovers That the GPA of a Student at Her

Question 96

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A professor discovers that the GPA of a student at her university can be estimated reasonably well using the formula G=log(hd+1)1.9G = \log \left( \frac { h } { d + 1 } \right) ^ { 1.9 } where h is the total number of hours spent studying outside of class in a semester, d is the number of classes missed during the semester, and G is the student's GPA for the semester. Expand this formula using properties of logs, and use your answer to find the expected semester GPA of a student that studies for 300 hours and misses 2 classes.

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