1.
If
y
varies inversely as
x
and
y
= 12 when
x
= 7, find
x
when
y
= 2.
A.
7
B.
42
C.
10
D.
5
Hint
2.
Suppose
y
varies directly as
x
and
y
= 13 when
x
= 7. Find the constant of variation and write an equation.
A.
k
=
and
y
= 13 · 7
x
B.
k
=
and
y
=
x
C.
k
=
and
y
= 13 · 7
x
D.
k
=
and
y
=
x
Hint
3.
Use
y
=
to find the value of
y
when
x
= 14.
A.
56
B.
28
C.
8
D.
98
Hint
4.
If
y
varies inversely as the cube of
x
and
y
= 8 when
x
= 2, find
x
when
y
= 1.
A.
x
= 4
B.
x
= 1
C.
x
= 2
D.
x
= 8
Hint
5.
If
y
varies jointly as
x
and the cube root of
z
,
and
y
= 30 when
x
= -5
and
z
= 27, find y when
z
= -8 and
x
= 0.5.
A.
y
= 4
B.
y
= -2
C.
y
= 20
D.
y
= 2
Hint