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Find x prop 1/y^3 and x=16 when y=12. Find y when x=54

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Your problem `->` x prop 1/y^3 and x=16 when y=12. Find y when x=54


`x prop 1/y^3`

`=> x=K*1/y^3`

Now, `x=16,y=12`

`=> 16 = K * 1/12^3`

`=> 16 = K * 1/1728`

`=> K = 16*1728`

`=> K = 27648`

Hence, `x=27648*1/y^3`

`y=?,x=54`

`=> 54 = 27648 * 1/y^3`

`=> (54)/(27648) = 1/y^3`

`=> 1/y^3 = 1/512`

`=> y^3 = 512`

`=> y = 8`






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