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Calculus/Confusing Word Problem

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Expert: - 9/12/2010


Question
Suppose a professor counts the final exam as being equal to each of the other tests in her course, and she will also change the lowest test score to match the final exam score if the final exam score is higher. If a student's four test scores are 81, 63, 51, and 90, what is the lowest score the student can earn on the final exam and still obtain at least an 80 average for the course?


Answer
Test 1   81   81   81   81   81
Test 2   63   63   63   63   63
Test 3   51   51   51   51   51
Test 4   90   90   90   90   90
Final   74   75   76   77   78
              
Score Taken As               
Test 1   81   81   81   81   81
Test 2   74   75   76   77   78
Test 3   74   75   76   77   78
Test 4   90   90   90   90   90
Final   74   75   76   77   78
Average   78.6   79.2   79.8   80.4   81

A 75 or less is not good enough.

A 76 is good enough if the average is rounded,
for that rounds up to 80.

A 77 or greater is definitely good enough.

Calculus

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Any kind of calculus question you want. I also have answered some questions in Physics (mass, momentum, falling bodies), Chemistry (charge, reactions, symbols, molecules), and Biology.

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