Question

Y varies directly as X and inversely as the square of Z. Y=30 when X=75 and Z=5. Find Y when X=36 and Z=2

Answer 1

Y when X=36 and Z=2 is 90

Explanation:

Given -

Y varies directly as X and inversely as the square of Z

`y = (kx)/(z^2)\\30 = (k *75)/(5^2) \\30 = 75k/25`

`k = 10`

As we know

`y = (kx)/(z^2)`

Substituting value of X = 36 and Z = 2 in above equation, we get -

`y = (10*36)/(2*2) \\y = 90`