SOLUTION: if y varies directly as x and inversely as z^2, and y=3 when x=2 and z=4 what is the value of x when y=9 and z=4?

Question 246151: if y varies directly as x and inversely as z^2, and y=3 when x=2 and z=4 what is the value of x when y=9 and z=4?
Answer by dabanfield(803) (Show Source): You can put this solution on YOUR website!
if y varies directly as x and inversely as z^2, and y=3 when x=2 and z=4 what is the value of x when y=9 and z=4?
Restated the above says y = k*(x/(z^2)) where k is a constant of proportionality yet to be determined.
As stated above y=3 when x=2 and z=4 so substituting in our formula:
3 = k*(2/(4^2))
3 = k*(2/16)= k/8
k=24
So our equation becomes y=24*(x/(z^2))
To solve the problem we need to substitute y = 9 and z = 4 and then solve for x in the equation above.

RELATED QUESTIONS
if y varies directly as x and inversely as z exponent 2 and,y=3 when x=2 and z=4,what is... (answered by venugopalramana)

If y varies directly as x and inversely as z^2, and y = 3 when x = 2 and z = (answered by psbhowmick)

if y varies directly as x and inversely as z^2, and y=3 when x=2 and z=4. what is the... (answered by stanbon)

if y varies directly as x and inversely as z^2, and y=3 when x=2 and z=4, what is the... (answered by Fombitz,london maths tutor)

Y varies directly as x and inversely as the square of z. y=10 when x=80 and z =4. Find y... (answered by stanbon)

y varies directly as x and inversely as the square of z. y=12 when x=64 and z=4. Find y... (answered by lwsshak3)

y varies directly as x and inversely as the square of z. y=30 when x=18 and z=3. Find y... (answered by josgarithmetic)

Id have a question if x varies inversely as y and x=2 when y=8, and i should find x when... (answered by solver91311)

This has to do with direct, indirect, and joint variation. Sorry but I couldn't find it... (answered by Mathtut)