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
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