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

#1/3#

#z ∝ 1/w#

#z = k/w# ……[1]

Where #k =# proportionality constant

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

#z = k/w#

#20 = k/0.5#

#k = 20 xx 0.5#

#color(blue)k = 10#

When #w = 30#

Equation [1] will be

#z = k/w = 10/30 = 1/3#