QuestionYou have grades of 86 and 91. What do you need on the final to average at least 90? Also, what final grades risk dropping below a B (80)?
Studdy Solution
STEP 1
Assumptions1. The grades on the first two exams are86 and91 respectively.
. The final examination counts as one grade.
3. To get a course grade of 'A', the final average must be at least90.
4. To maintain a course grade of 'B', the final average must not be less than80.
STEP 2
First, we need to calculate the average grade needed to get an 'A' in the course. The average grade is calculated by summing the grades of all the exams and dividing by the number of exams.
STEP 3
To find the grade needed on the final exam to get an 'A', we rearrange the formula to solve for the final exam grade.
STEP 4
Now, plug in the given values for the average grade (90), the number of exams (3), and the sum of the grades on the first two exams (86 +91) to calculate the grade needed on the final exam.
STEP 5
Calculate the grade needed on the final exam.
To get an 'A' in the course, you must get a93 on the final exam.
STEP 6
Next, we need to calculate the grades on the final that will cause the final average to be less than80, thus losing the 'B' in the course. We use the same formula as in3, but now the average grade is80.
STEP 7
Calculate the grades on the final that will cause the final average to be less than80.
If you get a grade less than63 on the final exam, your final average will be less than80, and you will lose your 'B' in the course.
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