Calculate the GPA of a student with the following grades A(15 hours) C(10 hours) F (6hours) note that an A is equivalent to 4.0 a B is equivalent to a 3.0 a C is equivalent to a 2.0 a D is equivalent to a 1.0 and an F is equivalent to a 0 round your answer to two decimal places

Respuesta :

Answer:

GPA: 2.58

Step-by-step explanation:

Step 1: Write the data

A: 4.0 and 15 hours

B: 3.0 and 0 hours

C: 2.0 and 10 hours

D: 1.0 and 0 hours

F: 0 and 6 hours

Step 2: Determine the total courses of the student with their grade and credit hours

3 courses

A: 4.0 and 15 hours, C: 2.0 and 10 hours, F: 0 and 6 hours

Step 3: Multiply GPA in each course by its credit hours

A: 4 x 15 = 60

C: 2 x 10 = 20

F: 0 x 6 = 0

Step 4: Add GPA of each course and divide by total number of credit hours.

A+C+F/31

60+20+0/31

80/31

= 2.58

Therefore, the student's GPA is 2.58.

!!

Using weighed average, it is found that the student GPA is of 2.58.

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  • A weighed average is given by the sum of each grade multiplied by it's weight, divided by the sum of the weights.

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The grades are:

  • 4.0 with a weight of 15.
  • 2.0 with a weight of 10.
  • 0.0 with a weight of 6.

Thus, the GPA is of:

[tex]G = \frac{4 \times 15 + 2 \times 10 + 0 \times 6}{15 + 10 + 6} = \frac{80}{31} = 2.58[/tex]

2.58 is the GPA.

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