Question

If x varies directly as y, and x = 27 when y=6, find x when y=2

Answer 1

Easiest way to solve these problems would be setting up a proportion.

$\frac{27}{6} = \frac{x}{2}$

Let x = ... well... our missing x

Now, we crossmultiply.

6x = 27(2)

6x = 54

x = 54/6

x = 9

Answer 2

$\frac{y}{x} = k$

$\frac{6}{27} = k$

$\frac{2}{9} = k$

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$\frac{y}{x} = k$

$\frac{2}{x} = \frac{2}{9}$

  18 = 2x

   9 = x