Tuesday 22 July 2008

The Official SAT Question of the Day™

For the function ƒ, y = ƒ(x) is inversely proportional to x, where x > 0. If ƒ(3) = 6, what is the value of ƒ(2)?

A. 4
B. 8
C. 9
D. 12
E. 18

Correct Answer: C

Here's Why:

Since y = ƒ(x) is inversely proportional to x, it follows that ƒ(x) = for some constant c. You can use ƒ(3) = 6 to find the value of c: = 6, so c = 18. Therefore, ƒ(2) = = 9.


Difficulty: Hard
Question Type: Standard Multiple Choice

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