Question

If Y Varies inversely as X. If Y=6 and X=10. FIND X when Y=18, correct to 3 significant figures.​

Answer 1

x ≈ 3.33

Explanation:

given y varies inversely as x then the equation relating them is

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

to find k use the condition y = 6 , x = 10

6 =
`(k)/(10)` ( multiply both sides by 10 )

60 = k

y =
`(60)/(x)` ← equation of variation

when y = 18 , then

18 =
`(60)/(k)` ( multiply both sides by k to clear the fraction )

18k = 60 ( divide both sides by 18 )

k =
`(60)/(18)` ≈ 3.33 ( to 3 significant figures )