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What is the average rate of change for the relation shown in the table?

Correct answer: D. 2/3

  • A. 1/3
  • B. 1/2
  • C. 5/6
  • D. 2/3

Explanation

To find the average rate of change, we use the formula (y2 - y1) / (x2 - x1), which represents the change in y divided by the change in x. From the table, select two points, say (x1, y1) = (-3, -1) and (x2, y2) = (6, 5). The change in y is 5 - (-1) = 6, and the change in x is 6 - (-3) = 9. Therefore, the average rate of change is 6/9, which simplifies to 2/3. Options A, B, and D represent incorrect calculations of these differences.

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About Quantitative Reasoning

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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