Isabella is hoping to get an A on her college Algebra course. With just the finaL exam left to take, she currently has an average of 85 on her quizzes and average of 92 on her exercises. The quizzes count for 40%, exercises count for 30% of the class grade. What is the minimal grade that Isabella must have on the final exam to obtain an A= 90% or higher
CAN ANYONE ANSWER THIS QUESTION
To find the minimal grade Isabella must achieve on the final exam to obtain an A (90% or higher), we can solve this using weighted average.
Let's assign variables for the different components:
Q = Average score on quizzes
E = Average score on exercises
F = Score needed on the final exam
Given information:
Q = 85 (quiz average)
E = 92 (exercise average)
The quizzes count for 40% of the grade, so they are worth 0.4.
The exercises count for 30% of the grade, so they are worth 0.3.
The final exam counts for the remaining percentage, which is 100% - 40% - 30% = 30%, so it is worth 0.3 as well.
We can set up the following equation:
(0.4 * Q) + (0.3 * E) + (0.3 * F) = 90
Plugging in the values we know:
(0.4 * 85) + (0.3 * 92) + (0.3 * F) = 90
Simplifying:
34 + 27.6 + 0.3F = 90
61.6 + 0.3F = 90
0.3F = 28.4
F = 28.4 / 0.3
F ≈ 94.6667
Therefore, Isabella needs to score at least a 94.6667 (rounded up to 95) on her final exam to obtain an A (90% or higher).