Yvaries directly as x and inversely as the square of z. y=20 when x=50 and z=5. find y when x=3 and z=6.

y =

Step-by-step explanation:

Given that y varies directly as x and inversely as the square of z then the equation relating them is

y = ← k is the constant of variation

To find k use the condition y = 20 when x = 50 and z = 5, then

k = = = 10, thus

y = ← equation of variation

Given x = 3 and z = 6, then

y = = =

3, 12, 48, 384, 1536, 6144, 24576, 98304

step-by-step explanation:

just keep timing it by 4.