Y is inversely proportional to the square of x when y =50, x=2, how do you find an equation connecting y and x?

1 Answer
Alan P.
Aug 1, 2015

#2x^2y=25#
#color(white)("XXXX")#(or some variation of that)

Explanation:

If #y# is inversely proportional to the square of #x#, then
#color(white)("XXXX")##y = c/(x^2)##color(white)("XXXX")#for some constant #c#

We are told that when #y=50# then #x=2#

So the proportional equation becomes
#color(white)("XXXX")##50 = c/(2^2)#

#color(white)("XXXX")##rarr c = 25/2#

So
#color(white)("XXXX")##y =(25/2)/x^2#
which could also be written as
#color(white)("XXXX")##x^2y = 25/2#
or
#color(white)("XXXX")##2x^2y = 25#

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