
Concept explainers
a.
Determine the variable expression for a student’s final score.
a.

Answer to Problem 40E
The variable expressions for a student’s final score are as follows:
Final score of student A is
Final score of student B is
Final score of student C is
Explanation of Solution
Given information:
Consider, the bar graph provided in the question,
Student A earn 30 points for technique and 40 points for interpretation.
Student B earn 40 points for technique and 20 points for interpretation.
Student A earn 30 points for technique and 50 points for interpretation.
Calculation:
Let,
The variable expressions for a student’s final score are as follows:
Final score of student A is
Final score of student B is
Final score of student C is
b.
To find the points which is needed to earn for interpretation so that the final score will be greatest of all students.
b.

Answer to Problem 40E
The final score is obtained as:
Final score of student A is
Final score of student B is
Final score of student C is
Explanation of Solution
Given information:
Consider, the bar graph provided in the question,
Student A earn 30 points for technique and 40 points for interpretation.
Student B earn 40 points for technique and 20 points for interpretation.
Student A earn 30 points for technique and 50 points for interpretation.
Calculation:
Let,
The final score is obtained as:
Final score of student A is:
Final score of student B is:
Final score of student C is:
c.
To find the final score of each student.
c.

Answer to Problem 40E
The student must have to earn point greater than 45 for interpretation so as to obtain highest final score.
Explanation of Solution
Given information:
Consider, the bar graph provided in the question,
Student A earn 30 points for technique and 40 points for interpretation.
Student B earn 40 points for technique and 20 points for interpretation.
Student A earn 30 points for technique and 50 points for interpretation.
Calculation:
Let,
The final score is obtained as:
Final score of student A is
Final score of student B is
Final score of student C is
The highest final score is earned by student C which is 80.
Therefore,
The student must have to earn point greater than
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