If a student has a GPA of 3.5 and wants to raise it to 3.7 by the end of the sem

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What’s inside this PDF?

Question: If a student has a GPA of 3.5 and wants to raise it to 3.7 by the end of the semester, what average GPA must they achieve if they take 4 more classes?

Options:

Correct Answer: 3.9

Solution:

Let x be the average GPA needed. (3.5 * n + x * 4) / (n + 4) = 3.7, solve for x.

If a student has a GPA of 3.5 and wants to raise it to 3.7 by the end of the sem

Practice Questions

If a student has a GPA of 3.5 and wants to raise it to 3.7 by the end of the semester, what average GPA must they achieve if they take 4 more classes?

Questions & Step-by-Step Solutions

If a student has a GPA of 3.5 and wants to raise it to 3.7 by the end of the semester, what average GPA must they achieve if they take 4 more classes?

Step 1: Identify the current GPA of the student, which is 3.5.
Step 2: Determine the number of classes the student has already taken, denoted as 'n'.
Step 3: Understand that the student wants to raise their GPA to 3.7 by the end of the semester.
Step 4: Recognize that the student will take 4 more classes.
Step 5: Set up the equation to find the average GPA needed for the 4 new classes, denoted as 'x'.
Step 6: The equation is (3.5 * n + x * 4) / (n + 4) = 3.7.
Step 7: Multiply both sides of the equation by (n + 4) to eliminate the fraction.
Step 8: This gives us 3.5 * n + x * 4 = 3.7 * (n + 4).
Step 9: Expand the right side of the equation: 3.5 * n + x * 4 = 3.7n + 14.8.
Step 10: Rearrange the equation to isolate 'x': x * 4 = 3.7n + 14.8 - 3.5n.
Step 11: Combine like terms: x * 4 = 0.2n + 14.8.
Step 12: Divide both sides by 4 to solve for 'x': x = (0.2n + 14.8) / 4.
Step 13: This gives the average GPA needed for the 4 new classes.

Weighted Average – Understanding how to calculate a new average based on existing grades and additional classes.
Algebraic Manipulation – Solving equations for an unknown variable, particularly in the context of GPA calculations.

If a student has a GPA of 3.5 and wants to raise it to 3.7 by the end of the sem

What’s inside this PDF?

If a student has a GPA of 3.5 and wants to raise it to 3.7 by the end of the sem

Practice Questions

Questions & Step-by-Step Solutions

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