Question

You are not doing as well as you had hoped in one of your classes. So, you want to figure out the minimum grade you need on the final exam to receive the semester grade that you want. Is it still possible to get an A? How would you explain your calculations to a classmate? 1. The grading scale states that you must have a 90% to earn an A for the semester. There are five tests each semester (four exams and one final). Given the percentage scores on the first four exams, determine if it is possible for you to get an A with your score on the final. Remember, the maximum possible score is 100%. a. Exam 1 = 85. Exam 2 80. Exam 3 = 94, and Exam 4 = 93 Can you earn an A? If so, what score would you need on the final exam? If not, what is the highest percent you can get for your semester grade? Explain.Please show work and explainations.

Answer 1

Since the total score on the final exam is 100%, it is still possible to earn an A.

To earn an A grade, one would need to score at least 98%, that is, either 98, 99 or 100.

Step-by-step explanation

The A grade starts from 90% of the total score.

There are five tests (four exams and one final). According to the question, each of the exams is graded in terms of 100%.

Hence, the total score would be 5 × 100% = 500.

To score an A grade, one would need 90% of the total score, that is,

90% × 500 = 450.

Let the grade required on the final exam to achieve an A grade be x.

So, the total of the scores must add up to at least 450.

(Exam 1 score) + (Exam 2 score) + (Exam 3 score) + (Exam 4 score) + (Final exam score) ≥ 450

85 + 80 + 94 + 93 + x ≥ 450

352 + x ≥ 450

Subtract 353 from both sides

352 + x - 352 ≥ 450 - 352

x ≥ 98

So, the score required on the final exam to still get an A grade is at least 98.

Since the total score on the final exam is 100%, it is still possible to earn an A.

To earn an A grade, one would need to score at least 98%, that is, either 98, 99 or 100.

Hope this Helps!!!!