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Given that 3≤x≤5 and -4≤y≤-1, the greatest possible value of x/y is:

Correct answer: C. -3/4

  • A. -1/4
  • B. -2/5
  • C. -3/4
  • D. -3/5

Explanation

To find the greatest possible value of the fraction x/y, where x and y are bounded by the given inequalities, we should consider the smallest value for x and the largest value for y. This is because the fraction x/y will be negative, and a negative fraction is greatest when it is closest to zero.Given the constraints, the smallest value of x is 3 and the largest value of y is -4, resulting in the fraction 3/-4 = -0.75, which is -3/4.Other options such as -1/4, -2/5, and -3/5 are not the greatest possible values because their absolute values are larger (i.e., further from zero) than -3/4.

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Quantitative reasoning applies arithmetic and basic algebra to numerical relationships, including percentages, ratios, averages, fractions, proportions, profit and loss, rates, time, work and measurement. Questions focus on translating words into equations, choosing an efficient method and checking whether the result is numerically reasonable.

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