jackie scored 82 and 88 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 80 and 85, inclusive.

Question

Mathematics

Stanley Johnson

20 May, 05:33

jackie scored 82 and 88 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 80 and 85, inclusive.

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Answers (1)

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Bianca Hartman · Answer 1

compound inequality: 80 ≤ (82 + 88 + q) / 3 ≤ 85

solution: 70 ≤ q ≤ 85

Step-by-step explanation:

Let q represent Jackie's final quiz score. To achieve her desired average, q must satisfy ...

... 80 ≤ (82 + 88 + q) / 3 ≤ 85

We can multiply by 3, then subtract the constant in the middle.

... 240 ≤ 170 + q ≤ 255

... 70 ≤ q ≤ 85