How do you find the constant of variation K for the inverse variation and write the inverse variation equation given x=3 y=-8?

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Answer 1 · 2016-01-05T15:45:36

k = - 24 and equation is # y = -24/x #

for y to vary inversely as x this is written # y prop 1/x #

to make an equation we introduce the constant of variation k

equation is then : y = #k xx 1 /x # =# k/x#

using the condition that x = 3 when y = - 8

and substituting into the equation gives # - 8 = k/3 #

now cross-multiply

# rArr k = - 24 #