If z varies inversely as w, and z=10 when w=0.6, how do you find z when w=20?

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Answer 1 · 2018-03-24T09:58:35

$z = 0.3$ $z=0.3$

When working with variance (proportion) - either direct or inverse, you need the find the value of the constant first.

$z \propto \frac{1}{w} \to z = \frac{k}{w}$ $z prop 1/w " "rarr z = k/w$

$k = w \times z$ $k = w xx z$

$k = 0.6 \times 10 = 6$ $k = 0.6 xx10 = 6" "$ use the given values to find $k$ $k$

$:. z=6/w" "or" "w=6/z" "or" "wz=6$

Now $" "z =6/20$

$z= 6/20 = 3/10 = 0.3$