Question

Write a general formula

Answer 1

y =
`(24)/(√(x) )`

Explanation:

given y varies inversely as
`√(x)` then th equation relating them is

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

to find k use the condition y = 8 when x = 9 , then

8 =
`(k)/(√(9) )` =
`(k)/(3)` ( multiply both sides by 3 to clear the fraction )

24 = k

y =
`(24)/(√(x) )` ← equation of variation