Question

Final Grade An instructor gives four 1-hour exams and one final exam, which counts as three 1-hour exams. Find a student's grade if she received 66, 81, 99 and 86 on the 1-hour exams and 85 on the final exam. Round your answer to one decimal place if necessary.

Answer 1

83.9

Step-by-step explanation:

The final exam counts as three 1-hour exams. Therefore, the student's scores written in terms of 1-hour exams will be:

• One-Hour Exam: 66, 81, 99 and 86

,

• Final Exam: (85 x 3)

We take the average to find the student's grade:

`\begin{gathered} \text{Final Grade}=(66(1)+81(1)+99(1)+86(1)+85(3))/(1+1+1+1+3) \\ =(332+255)/(7) \\ =(587)/(7) \\ =83.857 \\ \approx83.9 \end{gathered}`

The student's grade will be 83.9 correct to one decimal place.