Jared's highest possible GPA = (4.0*3 + 3.0*3 + 2.0*1)/7 = ?
Jared's lowest possible GPA = (4.0*2 + 3.0*3 + 2.0*1 + 0.0*1)/7 = ?
Subtract second answer from the first.
Jared's lowest possible GPA = (4.0*2 + 3.0*3 + 2.0*1 + 0.0*1)/7 = ?
Subtract second answer from the first.
To find the lowest possible overall GPA, we need to assume that Jared earns an F in his remaining class. Since an F earns no points, this would not contribute to his total points.
Now we can calculate the overall GPA for both scenarios and find the positive difference.
Highest possible overall GPA:
Jared earned a grade of A in two classes (worth 4.0 points each), a grade of B in three classes (worth 3.0 points each), and a grade of C in one class (worth 2.0 points). Assuming he earns another A in his remaining class, his total points would be:
(4.0 + 4.0 + 3.0 + 3.0 + 3.0 + 2.0 + 4.0) = 23.0
To find the GPA, we divide the total points by the number of classes:
23.0 / 7 = 3.29
Lowest possible overall GPA:
Jared earned a grade of A in two classes (worth 4.0 points each), a grade of B in three classes (worth 3.0 points each), and a grade of C in one class (worth 2.0 points). Assuming he earns an F in his remaining class, his total points would be:
(4.0 + 4.0 + 3.0 + 3.0 + 3.0 + 2.0 + 0) = 19.0
To find the GPA, we divide the total points by the number of classes:
19.0 / 7 = 2.71
Finally, we calculate the positive difference between the highest and lowest possible overall GPAs:
3.29 - 2.71 = 0.58
Therefore, the positive difference between the highest possible overall GPA and lowest possible overall GPA that Jared can have for his seven classes is 0.58.