12 If y varies inversely as the square root of x , what is the constant of proportionality if
y = 16 when x = 4 ?
F 4
G 8
H 32
J 64
13 The volume of a cone ( V ) varies jointly with its height ( h ) and the square of its
radius ( r ). If k is the constant of proportionality, which of the following equations
represents the correct relationship between volume, radius, and height?
2
A V = k ( rh )
2
B V = kr
h
k
C V =
h
2
r
2
D V = kr
h
14 Wind chill factor ( W) varies directly with temperature ( T) and inversely with the wind
velocity ( v) . If k is the constant of proportionality, which formula represents this
relationship?
kv
F W =
T
kT
G W =
v
H W = kTv
kT
J W =
2
v
15 Which equation represents a situation in which z varies jointly
as x and y ?
A z = kxy
ky
B z =
x
xk
C z =
y
x
D z =
y