# math

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At Smart Middle School students are required to take 7 classes each grading period. At the end of each grading period a student is assigned a final grade (A, B, C, D or F) for each class for the grading period. A student’s overall grade point average for the grading period is determined using a 4-point scale, where a final class grade of A is worth 4.0 points, a B is worth 3.0 points, a C is worth 2.0 points, a D is worth 1.0 point and an F earns no points. Suppose Jared has learned his final grade for the first grading period for six of his classes. He earned a grade of A in two classes, a grade of B in three classes and a grade of C in one class. What is the positive difference between the highest possible overall grade point average and lowest possible overall grade point average that Jared can have for his seven classes? Express your answer as a decimal to the nearest hundredth.

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Given the previous information for Jared's first six grades, what is the lowest possible letter grade that Jared can earn in his seventh class to have an overall grade point average of at least 3.00 for the first grading period?

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