Suppose z varies directly with x and inversely with the square of y. If z = 8 when x = 4 and y = 3 , what is z when x = 10 and y = 8 ?

Question

Suppose   z   varies directly with  x and inversely with the square of y. If   z = 8 when x = 4 and y = 3 , what is z  when  x = 10   and   y = 8  ?

Raymond B. · Accepted Answer

z=kx/sqry8 =4k/sqr3k=2sqr3z= 2xsqr(3/y)if x=10 and y = 8  thenz = 20sqr(3/8) = about  12.247

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