### 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.*

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

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.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

?