Question

Sara is currently taking physics as one of her electives in school. Her grade at the end of the year is determined by the average of her five exams, each worth 100 points. On her first test, she got a 94, on her second, she got a 72, and on her third, an 80, and on her fourth, she got an 82. What must she score on her fifth exam to get exactly 80% in the course?

A) 82
B) 84
C) 86
D) 88

Answer 1

To achieve an 80% course average, Sara needs to score a total of 400 points across all exams. Having already scored 328 points, she would need 72 points on her fifth exam to reach this total. However, this score is not listed in the multiple-choice options given in the question.

Step-by-step explanation:

The student, Sara, needs to determine what grade is required on her fifth exam to achieve an average score of 80% across five exams. To do this, we add her current scores and determine how many total points she needs to reach an 80% average over five 100-point exams.

Sara's current scores are:

• First exam: 94
• Second exam: 72
• Third exam: 80
• Fourth exam: 82

To calculate the total points needed for an 80% average across five exams, multiply 80 by 5, which equals 400 points. Sara has already earned 94 + 72 + 80 + 82 = 328 points. Therefore, she needs 400 - 328 = 72 more points to achieve an 80% average.

Since each exam is worth 100 points, the score Sara needs on her fifth exam is 72, which is not listed in the options provided. Therefore, there seems to be an error in the question as none of the provided options (A) 82, (B) 84, (C) 86, or (D) 88 will give her the required average of 80%.