Jim took three classes last semester. He got an A in his 3-credit Math class, a B- in his 4-credit Biology class, and a C+ in his 3-credit Spanish class.Use the following table of grade values to find Jim's GPA last semester.Grade ValuesGradeValue GradeValueA4.0 C2.0A-3.7 C-1.7B+3.3 D+1.3B3.0 D1.0B-2.7 D-0.7C+2.3 F0.0

Respuesta :

The GPA is calculated as an average of the grade values weighted by its credits.

If ci is the credit and Vi is the value, the equations is the following:

[tex]GPA=\frac{\sum^{}_ic_iV_i}{\sum^{}_ic_i}[/tex]

The values are:

Math:

c1 = 3

G1 = A -> V1 = 4.0

Biology:

c2 = 4

G2 = B- -> V2 = 2.7

Spanish:

c3 = 3

G3 = C+ -> V3 = 2.3

So:

[tex]GPA=\frac{\sum^{}_ic_iV_i}{\sum^{}_ic_i}=\frac{c_1V_1+c_2V_2+c_3V_3}{c_1+c_2+c_3}=\frac{3\cdot4.0+4+2.7+3\cdot2.3}{3+4+3}=\frac{12+10.8+6.9}{10}=\frac{29.7}{10}=2.97[/tex]