Pre-Algebra

1st Edition

ISBN: 9780618800766

Author: Ron Larson, Lee Stiff, Laurie Boswell, Timothy Kanold

Publisher: Houghton Mifflin-High School

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Question

Chapter 1.1, Problem 40E

To determine

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

Expert Solution

Answer to Problem 40E

The variable expressions for a student’s final score are as follows:

Final score of student A is tA+iA=30+40

Final score of student B is tB+iB=40+20

Final score of student C is tC+iC=30+50

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, t and i be the points earned by the students for technique and interpretation respectively.

The variable expressions for a student’s final score are as follows:

Final score of student A is tA+iA=30+40

Final score of student B is tB+iB=40+20

Final score of student C is tC+iC=30+50

To determine

To find the points which is needed to earn for interpretation so that the final score will be greatest of all students.

Expert Solution

Answer to Problem 40E

The final score is obtained as:

Final score of student A is 70 .

Final score of student B is 60 .

Final score of student C is 80 .

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, t and i be the points earned by the students for technique and interpretation respectively.

The final score is obtained as:

Final score of student A is:

tA+iA=30+40 =70 [Add]

Final score of student B is:

tB+iB=40+20 =60 [Add]

Final score of student C is:

tC+iC=30+50 =80 [Add]

To determine

To find the final score of each student.

Expert Solution

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, t and i be the points earned by the students for technique and interpretation respectively.

The final score is obtained as:

Final score of student A is 70 .

Final score of student B is 60 .

Final score of student C is 80 .

The highest final score is earned by student C which is 80.

Therefore,

The student must have to earn point greater than 80−35=45 (subtract 35 from 80) for interpretation so as to obtain highest final score.

Chapter 1.1, Problem 39E

Chapter 1.1, Problem 41E

Chapter 1 Solutions

Pre-Algebra

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