If z varies inversely as w, and z= 20 when w= 0.5, how do you find z when w= 30?

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Answer 1 · 2018-04-04T14:32:44

$\frac{1}{3}$ $1/3$

$z \propto \frac{1}{w}$ $z ∝ 1/w$

$z = \frac{k}{w}$ $z = k/w$ ……[1]

Where $k =$ $k =$ proportionality constant

When $z = 20$ $z = 20$ , $w = 0.5$ $w = 0.5$ then

$z = \frac{k}{w}$ $z = k/w$

$20 = \frac{k}{0.5}$ $20 = k/0.5$

$k = 20 \times 0.5$ $k = 20 xx 0.5$

$k = 10$ $color(blue)k = 10$

When $w = 30$ $w = 30$

Equation [1] will be

$z = \frac{k}{w} = \frac{10}{30} = \frac{1}{3}$ $z = k/w = 10/30 = 1/3$