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Home > PC > Chapter 5 > Lesson 5.2.2 > Problem 5-61


Mr. Reader scores his test in a unique way. A student’s score on the exam is directly proportional to the number of questions and inversely proportional to the square root of the number of problems a student misses. Let  the student’s score,  the number of problems and  the number of problems missed. 

  1. Write an equation that calculates a student’s score. Do not forget the constant of proportionality.

  2. On the last exam, there were questions and Corina missed . Her score for the exam was . On the same exam, Alex missed questions. What was Alex’s score?

    1. Substitute Corina’s information into the equation in part (a) and solve for .
    2. Rewrite the equation with the known .
    3. Determine Alex's score.

  3. Mr. Reader’s exams are REALLY hard! No one has ever gotten all of the problems correct. Based on his scoring method, what would happen if a student got every problem correct?

    What happens when the denominator is ?