Grades A student has scores of 72%, 74%, and 78% on three exams. What percent score does he need on the last exam to earn a grade of no less than B (80%)?We know three scores. We are to find what the student must score on the last exam to earn a grade of B or higher.We can let x = the score on the fourth (and last) exam. To find the average grade, we add the four scores and divide by 4.To earn a grade no less than B, the student's average must be greater than or equal to 80%.The average ofthe four gradesmust be no less than 80.72 + 74 + 78 + x804We can solve the inequality for x.+ x> 80Combine like terms in the numerator: 72 + 74 + 78 = 224.4+ x> 4(80)To clear the inequality of the fraction, multiply both sides by 4.4224 + x >Simplify each side.To isolate x, undo the addition of 224 by subtracting 224 from both sides.To earn a B, the student must score 96% or better on the last exam. Assuming the student cannot score higher than 100% on the exam, the solution set is written as[96, 100]. The graph is shown below.92 93 94 9596 97 98 99 100

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Description: Grades A student has scores of 72%, 74%, and 78% on three exams. What percent score does he need on the last exam to earn a grade of no less than B (80%)?We know three scores. We are to find what the student must score on the last exam to earn a gra

Here we solve the inequality for x . x= score for the fourth exam.

Answered: A student has scores of 72%, 74%, and…

Math

Algebra

A student has scores of 72%, 74%, and 78% on three exams. What percent score does he need on the last exam to earn a grade of no less than B (80%)?

College Algebra

7th Edition

ISBN:9781305115545

Author:James Stewart, Lothar Redlin, Saleem Watson

Publisher:James Stewart, Lothar Redlin, Saleem Watson

Chapter1: Equations And Graphs

Section1.7: Solving Inequalities

Problem 85E

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