SOLUTION: y varies directly with the square of x and inversely with z. If y = 16 when x=2 and z=3, find k, the constant of proportionality, and find y when x=5 and z=4

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: y varies directly with the square of x and inversely with z. If y = 16 when x=2 and z=3, find k, the constant of proportionality, and find y when x=5 and z=4      Log On

 

Hi

y varies directly with the square of x and inversely with z:  

 y = kx^2/z

16 = k 2^2/3   | y = 16 when x=2 and z=3

 12 = k

find y when x=5 and z=4

 y = 12*5^2/4

 y = 75