An intermediate algebra teacher bases final grades on points earned for activities as given in the Graded Classwork table on the left. To determine final grades, the teacher strictly adheres to the point ranges given in the Grade Distribution table on the right.

Write and solve a compound inequality to find the range of points Lauren needs in exam scores to earn a B average. What range of “test averages” (as percents) correspond to these scores, given that exams account for 450 possible points? 

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Graded Classwork Activity Homework and vocabulary Daily activities (scaled) Lab participation and completion Major exams (3 at 100 points) Final Exam Total points Points Available 45 55 100 300 150 650 Grade Distribution Grade A B C IP* F In Progress Points Required 585-650 520-584 455-519 < 455 and active < 455 and inactive