Lumen OHM Assessment

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Suppose that $z$ varies jointly with $x$ and $y$ .

Find the constant of proportionality $k$ if $z = 55$ when $y = 2$ and $x = 5$ .
$k =$

Using the $k$ from above write the variation equation in terms of $x$ and $y$ .
$z =$

Using the $k$ from above find $z$ given that $y = 11$ and $x = 27$ .
$z =$

If needed, round answer to 3 decimal places.
Enter DNE for Does Not Exist, oo for Infinity