# SAT Math Multiple Choice Question 685: Answer and Explanation

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**Question: 685**

**10.** For nonzero numbers *w* and *y*, if *w* is 50% greater than *y*, then what is the ratio of *w*^{-2} to *y*^{-2}?

- A. 4 to 9
- B. 2 to 3
- C. 9 to 4
- D. 4 to 1

**Correct Answer:** A

**Explanation:**

**A**

**Algebra (expressing quantities) MEDIUM-HARD**

It may be easiest to choose number for *w* and *y*. Assume *y* = 4. If *w* is 50% greater than *y*, then *w* = 1.5(4) = 6. Therefore *w*^{-2} = 6^{-2} = 1/36, and *y*^{-2} = 4^{-2} = 1/16. Therefore the ratio of *w*^{-2} to *y*^{-2} is