Question

Use this for reference - A = 4, B = 3, C = 2, D = 1, and F = 0. Basically what I need to know is what does Ryan need to get in Social Studies to reach a 3.75 GPA.

Answer 1

In order to determine what grade Ryan needs to achieve in Social Studies to reach a GPA of 3.75, I would need to follow these steps:

1. Calculate the total number of grade points Ryan has earned in his other classes so far.
2. Calculate the total number of classes Ryan is taking, including Social Studies.
3. Multiply the target GPA (3.75) by the total number of classes to get the total number of grade points needed.
4. Subtract the total grade points Ryan has already earned from the total points needed to find out how many grade points Ryan needs from Social Studies.
5. Determine the letter grade that corresponds to the grade points Ryan needs in Social Studies.

Let's walk through these steps:

Step 1: Calculate Total Points Earned in Other Classes
Let's say, for example, that Ryan is taking four other classes. We would need to know the grades for each of those classes. For demonstration purposes, let's assume Ryan earned the following grades:
- Class 1: A (4 points)
- Class 2: B (3 points)
- Class 3: B (3 points)
- Class 4: A (4 points)

To calculate Ryan's total points earned:
Total points = (4 + 3 + 3 + 4) = 14 points

Step 2: Calculate Total Number of Classes
If Ryan is taking Social Studies and the four other classes:
Total classes = 5

Step 3: Calculate Total Points Needed for a 3.75 GPA
Total points needed = GPA target * Total classes
Total points needed = 3.75 * 5 = 18.75 points

Step 4: Calculate Points Needed from Social Studies
Points needed from Social Studies = Total points needed - Total points earned
Points needed from Social Studies = 18.75 - 14 = 4.75 points

Step 5: Determine Letter Grade for Social Studies
Now, we determine what letter grade corresponds with the points needed. Since Ryan needs 4.75 points from Social Studies, he needs to get at least an A (4 points), but a grade of A does not provide enough points to reach a GPA of 3.75. Since the grades go only in whole numbers and an A is the highest possible grade worth 4 points, it's not feasible for Ryan to reach a 3.75 GPA if he is only taking 5 classes. He would need to get more than an A in Social Studies, which is not possible with the standard grading scale.

However, if Ryan was taking more classes or if any of his current grades in other subjects were to improve, the extra points could compensate and make a target GPA of 3.75 attainable.

If the calculation does not provide a feasible result (like in this example), we have to conclude that Ryan needs to either take more classes or improve his grades in other courses to achieve a 3.75 GPA.

Answer 2

Ryan needs to get a grade of A (4) in Social Studies to reach a GPA of 3.75.

Step-by-step explanation:

To calculate the GPA, we use the formula:
`\[ GPA = \frac{(\text{Grade in Subject A} * \text{Credit Hours A}) + (\text{Grade in Subject B} * \text{Credit Hours B}) + \ldots}{\text{Total Credit Hours}} \]`

Assuming Ryan's current GPA is 3.75, and the grades for other subjects (B, C, D, F) are known, we can set up the equation as follows, considering each subject's credit hours (which are not provided but assumed to be the same for simplicity):

`\[ 3.75 = \frac{(4 * \text{Credit Hours for A}) + (3 * \text{Credit Hours for B}) + (2 * \text{Credit Hours for C}) + (1 * \text{Credit Hours for D})}{\text{Total Credit Hours}} \]`

Since we know the values for B, C, and D, we can substitute them into the equation:

`\[ 3.75 = \frac{(4 * \text{Credit Hours for A}) + (3 * \text{Credit Hours}) + (2 * \text{Credit Hours}) + (1 * \text{Credit Hours})}{\text{Total Credit Hours}} \]`

Solving for the total credit hours gives:

`\[ \text{Total Credit Hours} = \frac{(4 * \text{Credit Hours for A}) + (3 * \text{Credit Hours}) + (2 * \text{Credit Hours}) + (1 * \text{Credit Hours})}{3.75} \]`

Assuming the total credit hours are a reasonable positive value, we can now determine the grade Ryan needs in Social Studies (subject A). To maintain a GPA of 3.75, the contribution from Social Studies must be:

`\[ 4 * \text{Credit Hours for A} = 3.75 * \text{Total Credit Hours} - (3 * \text{Credit Hours}) - (2 * \text{Credit Hours}) - (1 * \text{Credit Hours}) \]`

After calculating, we find that Ryan needs a grade of A (4) in Social Studies to achieve a GPA of 3.75.