SAT Math Multiple Choice Question 771: Answer and Explanation

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Question: 771

6. If the variable a varies inversely as b, which of the following statements must be true?

  • A. a + b is a constant.
  • B. a - b is a constant.
  • C. Images is a constant.
  • D. ab is a constant.

Correct Answer: D

Explanation:

D

Problem Solving and Data Analysis (variation) MEDIUM-HARD

Recall from Chapter 8, Lesson 4, that if a is inversely proportional to b, then Images, where k is some positive constant. If we multiply both sides of this equation by b, we get ab = k, which means that the product ab is a constant.

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