How do you find the variation constant and an equation of variation where y varies inversely as x and y=9 when x =12?

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Answer 1 · 2016-12-03T00:29:49

The equation is #y=108/x# where #108# is the constant of variation.

If y varies inversely with x, the equation is #y=k/x#, where #k# is a constant.

#y=k/x#

To find #k#, substitute in #y=9# and #x=12#..

#9=k/12#

#9/1=k/12color(white)(aaa)#Rewrite #9# as #9/1#

#1*k=9*12color(white)(aaa)#Cross multiply

#k=108#

Thus, the equation of variation is

#y=108/x# where #108# is the constant of variation.