If you received an "A" in a 5-hour class, a "B" in a 3-hour class, a "B+" in a 5-hour class, and a "C-" in a 3-hour class, what is your grade point hour ratio (GPA), assuming that these are the only classes you have taken?

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BlackTom AI · Accepted Answer

To tackle this problem, I’ll walk through how GPA is typically calculated when credit hours (class hours) are involved, and then evaluate each option against that method.
Option 1: 2.50
This would suggest a much lower average than the given letter grades imply. If we tried to recreate a 2.50 GPA with 16 total credit hours, the weighted average grade would need to be around 2.5 across all courses. But using a common scale where A=4.0, B=3.0, B+=3.3, C-=1.7, the computed weighted average is higher, so 2.50 is inconsistent with the provided grades and credit hours.
Option 2: 3.16
This value aligns with the standard weighted GPA calculation using the usual scale I described. Compute points: A (4.0) for 5 hours → 20.0 points; B (3.0) for 3 hours → 9.0 points; B+ (3.3) for 5 hours → 16.5 points; C- (1.7) for 3 hours → 5.1 points. Total points = 50.6; total hours = 16. GPA = 50.6 / 16 = 3.1625, which rounds to 3.16. This makes sense given the course loads and grades.
Option 3: 2.90
A 2.90 average would require the higher-weighted classes to contribute less points than the standard scale assigns. Given the real values for A, B, B+, and C-, the weighted sum would be noticeably above 2.9 when divided by 16 credits, so 2.90 is not consistent with the calculated total using the typical scale.
Option 4: 3.25
A 3.25 GPA is plausible in some scales or rounding conventions, but with the common 4.0/3.3/3.0/1.7 set, the exact calculation yields 3.1625, which is closer to 3.16 than to 3.25. If someone used a different rounding rule or a slightly different B+ value, they might land near 3.25, but with the standard values provided, 3.25 is not the precise result.
Option 5: Not enough information provided
All necessary information to compute a standard GPA is present: the letter grades and the hours for each course. Therefore, this option is incorrect because the data are sufficient to determine the GPA using the conventional method.

In summary, evaluating each choice against the conventional weighted GPA calculation with credit hours and typical grade-point mappings shows that 3.16 best matches the computed result, while the other values fail to align with the standard calculation or rely on different assumptions.

ARTSSCI 1100.07 AU2025 (15395) Grades & Academic Standing Quiz

If you received an "A" in a 5-hour class, a "B" in a 3-hour class, a "B+" in a 5-hour class, and a "C-" in a 3-hour class, what is your grade point hour ratio (GPA), assuming that these are the only classes you have taken?

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