If y varies inversely as X^2 and X = 9 when y = 64, how do you find the value of y when x = 4?

Ciolan3u

Ciolan3u

Answered question

2022-09-05

If y varies inversely as X^2 and X = 9 when y = 64, how do you find the value of y when x = 4?

Answer & Explanation

soyafh

soyafh

Beginner2022-09-06Added 17 answers

varies inversely means 1/variable
the initial statement is y 1 x 2
to convert to an equation, multiply by k, the constant of variation
y = k × 1 x 2 = k x 2
to find k, use the condition given
y = k x 2 k = x 2 y
given x=9 when y=64
k = 9 2 × 64 = 5184
equation is | 2 2 y = 5184 x 2 2 2 | ̲ ¯
when x = 4 then
y = 5184 16 = 324

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