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Provide an appropriate response. Grade points are assigned as follows: A = 4, B = 3, C = 2, D = 1, and F = 0. Grades are weighted according to credit hours. If a student receives an A in a four-credit class, a D in a two-credit class, a B in a three-credit class and a C in a three-credit class, what is the student's grade point average?
a) 3.00
b) 1.75
c) 2.50
d) 2.75

Respuesta :

Answer:

d) 2.75

Step-by-step explanation:

[tex]\left[\begin{array}{cccc}Credit&Letter&Grade&Product\\4&A&4&16\\2&D&1&2\\3&B&3&9\\3&C&2&6\end{array}\right] \\\\[/tex]

If we sum the products we got [tex]16+2+9+6 = 33[/tex]

And, to find the average we divide in the total number of credits

[tex]\frac{33}{4+2+3+3}  = 2.75[/tex]

The students' grade point average with the given grades and scoring points is; Option D; 2.75

Formula for Grade point average is;

GPA = Total number of grade points earned/total number of graded units undertaken

Now, we are told he did some classes which were;

4 credit class, 2 credit class, 3 credit class, 3 credit class

Total number of graded units undertaken = 4 + 2 + 3 + 3

Total number of graded units undertaken = 12 units

Since A = 4, B = 3, C = 2, D = 1, and F = 0

Thus;

Number of grade points in 4 credit class with A = 4 × 4 = 16

Number of grade points in 2 credit class with D = 1 × 2 = 2

Number of grade points in 3 credit class with B = 3 × 3 = 9

Number of grade points in 3 credit class with C = 2 × 3 = 6

Total number of grade points earned = 16 + 2 + 9 + 6

Total number of grade points earned = 33

Thus;

GPA = 33/12

GPA = 2.75

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