Jackie scored 82 and 88 on her first two quizzes. Write and solve a compound inequality to find possible values for a third quiz score that would give her an average between 80 and 85, inclusive. a. 80 <= 82 + 88 + n / 3 <= 85; 70 <= n <= 85
b. 70 <= 82 + 88 + n / 3 <= 85; 80 <= n <= 85
c. 80 <= 82 + 88 + n / 3 < 85; 70 < n < 85
d. 82 <= 80 + 85 + n / 3 <= 88; 70 <= n <= 85
2 answers:
The answer is a . first you can understand that b and d can not be the answers because the question says that hey score should be between 80 and 85 so between a and c the answer is a :))) i hope this is helpful
Answer : option A
Jackie scored 82 and 88 on her first two quizzes
Let n be the score of third quiz
Average of 3 quiz =
average between 80 and 85, inclusive.
so average lies between 80 and 85
Question says 80 and 85 inclusive. so we use <= or >= symbol
So inequality becomes
( multiply all sides by 3)
(subtract all sides by 170)
so option A is correct
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