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

User Saga
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1 Answer

2 votes

Answer:

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 )

User Amoss
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