SOLUTION: Suppose z varies directly with x and inversely with the square of y. If z=12 when x=4 and y=4, what is z when x=8 and y=10? Mph

Algebra ->  Inverses -> SOLUTION: Suppose z varies directly with x and inversely with the square of y. If z=12 when x=4 and y=4, what is z when x=8 and y=10? Mph      Log On


   

Question 1186239: Suppose z varies directly with x and inversely with the square of y. If z=12 when x=4 and y=4, what is z when x=8 and y=10?


Mph
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

Suppose z+varies directly with x and inversely with the square of y :
z=kx%2Fy%5E2

If z=12+when x=4 and y=4
12=%28k%2A4%29%2F4%5E2
12=k%2F4
k=12%2A4
k=48

z=48x%2Fy%5E2

what is z when x=8 and y=10?
z=%2848%2A8%29%2F10%5E2
z=96%2F25
z=3.84