QuestionCalculate the GPA from grades A, C, B, A, D with credit hours 4, 4, 3, 3, 2. Is the GPA ≥ 3.00 for the dean's list?

Studdy Solution

STEP 1

Assumptions1. The student's grades are A, C, B, A, and D. . The corresponding credit hours for these courses are4,4,3,3, and.
3. The grading system assigns quality points as follows A=4, B=3, C=, D=1, F=0.
4. The grade-point average (GPA) is calculated by dividing the total quality points by the total credit hours.
5. The dean's list requires a GPA of3.00 or greater.

STEP 2

First, we need to calculate the total quality points. We can do this by multiplying the quality points for each grade by the corresponding credit hours, and then summing these up.
$Total\, quality\, points = \sum_{i=1}^{n} (Grade_i \\times Credit\, hours_i)$

STEP 3

Now, plug in the given values for the grades and credit hours to calculate the total quality points.
$Total\, quality\, points = ( \\times) + (2 \\times) + (3 \\times3) + ( \\times3) + (1 \\times2)$

STEP 4

Calculate the total quality points.
$Total\, quality\, points =16 +8 +9 +12 +2 =47$

STEP 5

Next, we need to calculate the total credit hours. We can do this by summing up the credit hours for all the courses.
$Total\, credit\, hours = \sum_{i=1}^{n} Credit\, hours_i$

STEP 6

Plug in the given values for the credit hours to calculate the total credit hours.
$Total\, credit\, hours =4 +4 +3 +3 +2$

STEP 7

Calculate the total credit hours.
$Total\, credit\, hours =4 +4 +3 +3 +2 =16$

STEP 8

Now that we have the total quality points and the total credit hours, we can calculate the GPA. The GPA is calculated by dividing the total quality points by the total credit hours.
$GPA = Total\, quality\, points / Total\, credit\, hours$

STEP 9

Plug in the values for the total quality points and the total credit hours to calculate the GPA.
$GPA =47 /16$

STEP 10

Calculate the GPA.
$GPA =47 /16 =2.94$ The student's GPA is2.94.

STEP 11

Now, we need to check if the student made the dean's list. The dean's list requires a GPA of3.00 or greater. Therefore, if the student's GPA is greater than or equal to3.00, the student made the dean's list.
$GPA \geq3.00$

STEP 12

Check if the student's GPA is greater than or equal to.00.
$2.94 \geq.00$ The student did not make the dean's list.

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