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

Patience Owens

Patience Owens

Open question

2022-09-02

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

Answer & Explanation

Ben Reese

Ben Reese

Beginner2022-09-03Added 12 answers

If y is inversely proportional to the square of x, then
y = c x 2 for some constant c

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

So the proportional equation becomes
50 = c 2 2

c = 25 2

So
y = 25 2 x 2
which could also be written as
x 2 y = 25 2
or
2 x 2 y = 25

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