MathDB
Function problem

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December 3, 2005
function

Problem Statement

Let f f be a function satisfying f(xy) \equal{} f(x)/y for all positive real numbers x x and y y. If f(500) \equal{} 3, what is the value of f(600) f(600)? <spanclass=′latex−bold′>(A)</span> 1<spanclass=′latex−bold′>(B)</span> 2<spanclass=′latex−bold′>(C)</span> 52<spanclass=′latex−bold′>(D)</span> 3<spanclass=′latex−bold′>(E)</span> 185 <span class='latex-bold'>(A)</span> \ 1 \qquad <span class='latex-bold'>(B)</span> \ 2 \qquad <span class='latex-bold'>(C)</span> \ \displaystyle \frac {5}{2} \qquad <span class='latex-bold'>(D)</span> \ 3 \qquad <span class='latex-bold'>(E)</span> \ \displaystyle \frac {18}{5}
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