If Y varies inversely with the square of x. When x is 5, y is 4/5, how do you find value of y, when x equals 8?

iescabroussexg

iescabroussexg

Answered question

2022-09-03

If Y varies inversely with the square of x. When x is 5, y is 4/5, how do you find value of y, when x equals 8?

Answer & Explanation

Isaiah Haynes

Isaiah Haynes

Beginner2022-09-04Added 16 answers

First, set up the described equation.
y = a 1 ( x ) 2
Then, given x = 5 and y = 4/5 we can solve for the proportionality constant of the equation.
4 5 = a 1 ( 5 ) 2 ; a = 4 5 ( 5 ) 2 ; a = 4 5 25 = 20
SO, our equation is y = 20 ( x ) 2
w h e n x = 8 , y = 20 ( 8 ) 2 ; y = 20/64 = 0.3125

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