Question
A student scored 83 and 91 on her first two quizzes. Write and solve a compound inequality to find the possible values for a third quiz score that would give her an average between 85 and 90, inclusive.
A. 85 ≤ 83+91+n/3 ≤ 90, 81≤ n ≤ 96
B. 83+91 85≤ ≤ n, -2≤ n ≤3 2
C. 90 ≤ 83 +91 + "<85,96 ≤ n ≤81 3
D.835 83+91+n 3 ≤90;73≤ n ≤94
A. 85 ≤ 83+91+n/3 ≤ 90, 81≤ n ≤ 96
B. 83+91 85≤ ≤ n, -2≤ n ≤3 2
C. 90 ≤ 83 +91 + "<85,96 ≤ n ≤81 3
D.835 83+91+n 3 ≤90;73≤ n ≤94
Answers
GPT 3.5
A. 85 ≤ (83 + 91 + n)/3 ≤ 90, 81 ≤ n ≤ 96
To find the possible values for the third quiz score, we need to determine the average score. The average score is found by dividing the sum of the scores by the number of quizzes. In this case, the sum of the scores is 83 + 91 + n, and the number of quizzes is 3.
To calculate the average score, we divide the sum of the scores by 3:
(83 + 91 + n)/3
To ensure that the average score is between 85 and 90 (inclusive), we set up the compound inequality:
85 ≤ (83 + 91 + n)/3 ≤ 90
By solving this compound inequality, we find that the possible values for the third quiz score, n, are between 81 and 96 (inclusive).
Answer: A. 81 ≤ n ≤ 96
To find the possible values for the third quiz score, we need to determine the average score. The average score is found by dividing the sum of the scores by the number of quizzes. In this case, the sum of the scores is 83 + 91 + n, and the number of quizzes is 3.
To calculate the average score, we divide the sum of the scores by 3:
(83 + 91 + n)/3
To ensure that the average score is between 85 and 90 (inclusive), we set up the compound inequality:
85 ≤ (83 + 91 + n)/3 ≤ 90
By solving this compound inequality, we find that the possible values for the third quiz score, n, are between 81 and 96 (inclusive).
Answer: A. 81 ≤ n ≤ 96