SOLUTION: The time it takes a professor to grade exams is directly proportional to the number of questions on the exam and inversely proportional to the square root of the number of red bull
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Question 818115: The time it takes a professor to grade exams is directly proportional to the number of questions on the exam and inversely proportional to the square root of the number of red bulls he has consumed. If it takes the professor 250 minutes tograde 10 questions when he has consumed 4 red bulls, how long will it take him to grade 17 exam questions if he has consumed 3 caffeinated beverages? Round answer to the nearest .1 minutes
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
The time it takes a professor to grade exams is directly proportional to the number of questions on the exam and inversely proportional to the square root of the number of red bulls he has consumed.
t = k*n/sqrt(b)
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Solve for "k" using "If it takes the professor 250 minutes tograde 10 questions when he has consumed 4 red bulls"
250 = k*10/2
k = 50
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Equation::
t = 50n/sqrt(b)
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how long will it take him to grade 17 exam questions if he has consumed 3 caffeinated beverages? Round answer to the nearest .1 minutes
t = 50*17/sqrt(3)
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time = 491 minutes
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Cheers,
Stan H.
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