In a certain course, the Professor has two different grading policies, from which he picks the best. The first policy is to put 40% and 60% weights, respectively, on the midterm and final exams. Under the second grading policy, these weights are 50% each. A student has scored 85% on the midterm, and needs to score at least x% on the final to make a B (a total of 82%). What is the value of x?

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Correct Answer: **C.** *79*

For a grade of B, either the condition 85 × 0.4 + x × 0.6 ≥ 82 needs to be met under the first policy, or the condition 85 × 0.5 + x × 0.5 ≥ 82 needs to be met under the second policy. These two conditions yield x ≥ 80 and x ≥ 79, respectively. Since the minimum value of x is to be computed, we pick the lower of these two bounds, which is 79.

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