Question

The grades for a course are based on 5 exams and 1 final. In order to receive an A in the course, you must earn at least 540 points. Your grades on the 5 exams are as follows: 87, 95, 92, 81, and 89. Write an inequality that represents the various grades you can earn on the final and still get an A. Solve the inequality.

Answer 1

To receive an A in the course, a student must score at least 96 points on the final exam based on their previous exam scores, given that the maximum possible score on the final is 200 points.

Step-by-step explanation:

To determine what grade is needed on the final to get an A in the course, we first add up the scores from the five exams: 87 + 95 + 92 + 81 + 89 = 444. The requirement for an A is at least 540 points. We represent the score needed on the final with the variable x. Thus, the inequality that represents the grades needed on the final is 444 + x ≥ 540.

To solve this inequality for x, we subtract 444 from both sides, which gives us x ≥ 96. This means that a student must score at least 96 points on the final exam to earn an A in the course, provided the maximum score for the final exam is 200 points as stated.