Question

Joe's test grades in History class are: 92, 89, 85, 89, and 90. Tests count as 80% of the final grade, and the final exam counts for 20%. What is the minimum score Joe can get on the final exam and average 90?

A) 95

B) 93

C) 92

D) 94

Answer 1

Joe needs at least a 94 on the final exam in his History class to average a total grade of 90. This is calculated by first finding his average test grade, then using it to determine the minimum required final exam score.

Step-by-step explanation:

The question asks us to find the minimum score Joe can get on the final exam to average a 90 in his History class, given that tests count for 80% and the final exam counts for 20% of the final grade. To determine this, we first calculate the average test grade, then use that average to find the needed final exam score to reach the overall average of 90.

1. Calculate the average of Joe's test grades: (92 + 89 + 85 + 89 + 90) / 5 = 89.
2. Determine what average Joe needs on the tests portion: 89 * 0.80 = 71.2.
3. Calculate how many points Joe still needs to reach an average of 90: 90 - 71.2 = 18.8.
4. Find out what minimum score Joe needs on the final, which is 20% of the grade: 18.8 / 0.20 = 94.

Joe needs to score at least a 94 on the final exam to average a 90 overall.