For each additional hour spent studying after taking a practice exam, a student can expect to increase their final exam score by 5%. If a student scores 70% on the practice exam and then spends an additional 6 hours studying, which of the following is their expected score on the final exam?

Rationale

The expected score on the final exam is 100%.

Given that a student scores 70% on the practice exam and can expect to increase their score by 5% for each additional hour of study, spending 6 extra hours studying results in a total increase of 30%. Therefore, adding this increase to the initial score of 70% leads to an expected final exam score of 100%.

A (73%) YOUR ANSWER

This choice incorrectly assumes that the increase is only 3% instead of 30%. The calculation of the expected score requires adding 30% to the initial score of 70%, which would not result in 73%.

B (70%) YOUR ANSWER

This choice suggests that the student would not improve their score at all with additional studying. Since the prompt states an increase of 5% per hour studied, it is clear that studying leads to a significant improvement, making 70% an incorrect and unrealistic expectation.

C (100%) CORRECT

This is the correct choice, as the student starts with a score of 70% and, after studying for 6 additional hours, receives a 30% increase (6 hours * 5% per hour). This results in a total score of 100%, as the total expected increase exceeds the maximum score.

D (75%) YOUR ANSWER

This choice miscalculates the expected score by implying a 5% increase over just one hour of study or an insufficient increase overall. The correct calculation shows that 30% should be added to the initial score, leading to a final score of 100% instead.

Conclusion

The problem illustrates how additional study hours translate into score improvements on exams. By applying the given increase of 5% per hour studied, the student can accurately predict their final exam score based on the practice exam result. In this case, the cumulative increase from studying leads to a perfect score of 100%, highlighting the importance of dedicated study time for academic success.

For each additional hour spent studying after taking a practice exam, a student can expect to increase their final exam score by 5%. If a student scores 70% on the practice exam and then spends an additional 6 hours studying, which of the following is their expected score on the final exam?

The expected score on the final exam is 100%.

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