### Home > PC3 > Chapter 7 > Lesson 7.1.1 > Problem 7-6

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

*and*

*.*

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

On the last exam, there were

questions and Saadia missed . Her score for the exam was . On the same exam, Alex missed questions. What was Alex’s score? 1. Substitute Saadia's information into the equation in part (a) and solve for

.

2. Rewrite the equation with the known.

3. Determine Alex's score.Mr. Nguyen’s exams are REALLY hard! No one has ever gotten all of the problems correct. Based on his scoring method, what will happen if a student gets every problem correct?

What happens when the denominator is

?