You want to earn an A 90 or greater in College Algebra Your

You want to earn an A (90% or greater) in College Algebra. Your grade is based on the average of 5 quizzes and a final exam. The quizzes are weighted evenly and your final exam is weighted as 3 quiz grades. Your quiz grades are as follows: 92 84 99 87 100 What grades can you get on your final exam and still get an \"A\" in the class? Write an inequality and solve using the equation editor. Be sure to write a sentence that explains your answer

Solution

The avearage of the 5 quizz grades is (92 + 84 + 99+ 87 + 100)/5 = 462/5 = 92.4.Then 3 * 92.4 = 277.2. Let the final exam grade be x . Then 1/4( 277.2 + x /3) 90 or, 277.2 + x 370 or x ( 360 - 277.2) i.e. x 82.8. Thus , the score in the final exam should be at least 82.8