Question

z
varies directly as the square of
x
and inversely as
y
.If z = 18 when x = 3 and y = 3. Find z when x = 8 and y = 4.

Answer 1

z = kx/y2

6 = k(2)/42

6 = 2k/16

6 = k/8

48 = k

 

z = 48(10)/62

z = 480/36

z = 13 1/3