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 give her an average between 85 and 90,inclusive

Answer 1

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Answer 2

81 <= x <= 96

Explanation:

To find the score of third quiz which gives her an average between 85 and 90 inclusive, the total divided by 3 should be between the values 255 (85 x 3) and 270 (90 x 3).

Considering the above values, we can form an inequality:

3 x 85 <= 83 + 91 + x <= 3 x 90

Now solve for x:

255 <= 174 + x <= 270

81 <= x <= 96