Question

If y varies inversely as the square of X and Y equals 4 when x equals 3 find y when X is 2​

Answer 1

y = 9

Explanation:

Given that y varies inversely as the square of x then the equation relating them is

y =
`(k)/(x^(2) )` ← k is the constant of variation

To find k use the condition y = 4 when x = 3

k = yx² = 4 × 3² = 4 × 9 = 36, thus

y =
`(36)/(x^(2) )` ← equation of variation

When x = 2 then

y =
`(36)/(2^(2) )` =
`(36)/(4)` = 9

Answer 2

♫ - - - - - - - - - - - - - - - ~Hello There!~ - - - - - - - - - - - - - - - ♫

➷ The equation is:

y = k/x^2

Input the numbers:

4 = k/(3)^2

k = 4 x (3)^2

k = 36

y = 36/(2)^2

y = 9

✽

➶ Hope This Helps You!

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