Two students in EARTHSC-1121 earned the exact same scores on the three exams.

exam 1 = 82%
exam 2 = 80%
exam 3 (final exam) = 75%

One student took advantage of a 25% bump in the final grade while the other student didn't take a single attendance quiz or reading quiz.

pop/attendance quizzes = 100% for Student Y vs. 0% for Student Z
reading quizzes = 100% for Student Y vs. 0% for Student Z

Match each student with their calculated final grade.

*Notice that the attendance quizzes and reading quizzes result in a "bonus" of three letter grades!!!
1: Final grade F (59.25%)
2: Final grade B (84.25%)

Question

Two students in EARTHSC-1121 earned the exact same scores on the three exams.

exam 1 = 82%
exam 2 = 80%
exam 3 (final exam) = 75%

One student took advantage of a 25% bump in the final grade while the other student didn't take a single attendance quiz or reading quiz.

pop/attendance quizzes = 100% for Student Y vs. 0% for Student Z 
reading quizzes = 100% for Student Y vs. 0% for Student Z

Match each student with their calculated final grade.

*Notice that the attendance quizzes and reading quizzes result in a "bonus" of three letter grades!!!
1: Final grade F (59.25%)
2: Final grade B (84.25%)

BlackTom AI · Accepted Answer

Question restatement and setup:
- The scenario compares two students, Student Y and Student Z, who earned the same scores on three exams: exam 1 = 82%, exam 2 = 80%, exam 3 = 75%.
- One student receives a 25% bump in the final grade, while the other student does not take any attendance quizzes or reading quizzes.
- Attendance quizzes and reading quizzes grant a bonus: Student Y has 100% on both types; Student Z has 0% on both types.
- The final grading options provided are: 1) Final grade F (59.25%) and 2) Final grade B (84.25%).

Option analysis:
Option 1: Final grade F (59.25%) assigned to Student Z
- This option implies Student Z ends up with a low final grade despite identical exam scores to Student Y, plus no quiz bonuses and no 25% bump. Since Student Z receives neither the 25% bump nor any positive bonus from quizzes, it is plausible that his final grade could fall below a passing range if the grading scheme heavily weights these bonuses.
- However, to determine the plausibility, we compare with Student Y who has full quiz bonuses. The presence of substantial bonuses for Student Y would tend to pull Student Y’s final grade up relative to Student Z. Therefore, assigning the lower final grade (F) to Student Z aligns with the idea that Z did not benefit from quizzes or the bump, while Y did. Yet, since the exam performance was identical, a large gap like 25 percentage points or more would need to come entirely from the bonuses. If the grading rules quantify bonuses precisely as three letter grades (as noted), that could push Y well above Z, but claiming Z ends up at 59.25% requires understanding the exact bonus-to-score mapping. Without detailing that mapping, this option remains a testable possibility but relies on the assumption that bonuses shift Z downward or that the baseline and cap rules produce 59.25%.
- In sum, this option is plausible only if the scoring system reduces Z substantially relative to Y, which contradicts the given that Z did not receive bonuses and Y did. The result (59.25%) therefore seems less consistent with the information that Y gains a bonus and Z does not, making this option less intuitive.

Option 2: Final grade B (84.25%) assigned to Student Y
- This option assigns the higher final grade to Student Y, who received 100% on attendance quizzes and reading quizzes and also benefited from a 25% bump in the final grade. The combination of full quiz bonuses plus the bump is a coherent mechanism to raise the final grade well above the base exam average.
- Since both students had identical exam scores, the only differences come from the bonuses. Y’s perfect quiz performance plus the 25% bump provides a straightforward rationale for Y achieving a stronger final grade (84.25%), consistent with a letter grade around B, given typical grading scales.
- The presence of the phrase that the quizzes yield a “bonus of three letter grades” reinforces that Y should be substantially higher than Z, supporting a scenario where Y earns the B and Z lags behind.

Cross-option reflection:
- If we accept that the bonuses and bump translate into a sizable improvement for Y, then assigning the higher final grade to Y (Option 2) matches the described advantage and the expectation that Z, with no bonuses, lands lower.
- Conversely, assigning the F to Z (Option 1) would require a strong downward adjustment or cap on Z’s score that is not described in the prompt, given that Z did not receive bonuses and Y did. This makes Option 1 less consistent with the stated bonus structure.

Conclusion (inferred mapping based on bonus description):
- The student who benefits from the full quiz bonuses plus the 25% final-grade bump should land the higher final grade, i.e., Student Y with a final grade of 84.25% (B).
- The student with no bonuses should land the lower final grade, i.e., Student Z with a final grade of 59.25% (F).

Note on structure and options:
- The question presents two matchings: one final grade corresponding to one student and the other final grade corresponding to the other student. The provided answer ordering implies that option 1 maps to Student Z and option 2 maps to Student Y. The reasoning above supports that distribution, explaining why Y would receive the higher grade and Z the lower one given the bonus mechanics.

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