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Math Problems
Algebra 2
Write joint and combined variation equations II
Which equation describes this relationship? Remember to include
k
k
k
, the constant of variation.
\newline
z
z
z
varies inversely with
x
x
x
and
y
y
y
\newline
Choices:
\newline
(A)
z
=
k
x
y
z = \frac{k}{xy}
z
=
x
y
k
\newline
(B)
z
=
k
x
y
z = \frac{kx}{y}
z
=
y
k
x
\newline
(C)
z
=
k
x
y
z = kxy
z
=
k
x
y
\newline
(D)
z
=
k
y
x
z = \frac{ky}{x}
z
=
x
k
y
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Which equation describes this relationship? Remember to include
k
k
k
, the constant of variation.
\newline
z
z
z
varies inversely with
w
w
w
,
x
x
x
, and
y
y
y
\newline
Choices:
\newline
(A)
z
=
k
w
x
y
z = \frac{k}{wxy}
z
=
w
x
y
k
\newline
(B)
z
=
k
y
w
x
z = \frac{ky}{wx}
z
=
w
x
k
y
\newline
(C)
z
=
k
w
y
x
z = \frac{kwy}{x}
z
=
x
k
w
y
\newline
(D)
z
=
k
w
x
y
z = \frac{k}{wxy}
z
=
w
x
y
k
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Which equation describes this relationship? Remember to include
k
k
k
, the constant of variation.
\newline
a
a
a
varies jointly with
b
b
b
and
c
c
c
and inversely with
d
d
d
\newline
Choices:
\newline
(A)
a
=
k
b
c
d
a = \frac{kbc}{d}
a
=
d
kb
c
\newline
(B)
a
=
k
c
d
b
a = \frac{kcd}{b}
a
=
b
k
c
d
\newline
(C)
a
=
k
b
c
d
a = kbcd
a
=
kb
c
d
\newline
(D)
a
=
k
c
b
d
a = \frac{kc}{bd}
a
=
b
d
k
c
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Which equation describes this relationship? Remember to include
k
k
k
, the constant of variation.
\newline
a
a
a
varies jointly with
b
b
b
and
c
c
c
\newline
Choices:
\newline
(A)
a
=
k
b
c
a = \frac{k}{bc}
a
=
b
c
k
\newline
(B)
a
=
k
b
c
a = kbc
a
=
kb
c
\newline
(C)
a
=
k
c
b
a = \frac{kc}{b}
a
=
b
k
c
\newline
(D)
a
=
k
b
c
a = \frac{kb}{c}
a
=
c
kb
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Which equation describes this relationship? Remember to include
k
k
k
, the constant of variation.
\newline
z
z
z
varies directly with
w
w
w
and inversely with
x
x
x
and
y
y
y
\newline
Choices:
\newline
(A)
z
=
k
w
y
x
z = \frac{kwy}{x}
z
=
x
k
w
y
\newline
(B)
z
=
k
w
x
y
z = \frac{k}{wxy}
z
=
w
x
y
k
\newline
(C)
z
=
k
w
x
y
z = \frac{kw}{xy}
z
=
x
y
k
w
\newline
(D)
z
=
k
y
w
x
z = \frac{ky}{wx}
z
=
w
x
k
y
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Which equation has a constant of proportionality equal to
2
2
2
?
\newline
Choose
1
1
1
answer:
\newline
(A)
y
=
10
5
x
y=\frac{10}{5} x
y
=
5
10
x
\newline
(B)
y
=
2
2
x
y=\frac{2}{2} x
y
=
2
2
x
\newline
(C)
y
=
2
4
x
y=\frac{2}{4} x
y
=
4
2
x
\newline
(D)
y
=
22
2
x
y=\frac{22}{2} x
y
=
2
22
x
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Which equation has a constant of proportionality equal to
10
10
10
?
\newline
Choose
1
1
1
answer:
\newline
A
y
=
2
20
x
y=\frac{2}{20} x
y
=
20
2
x
\newline
(B)
y
=
30
3
x
y=\frac{30}{3} x
y
=
3
30
x
\newline
(C)
y
=
12
2
x
y=\frac{12}{2} x
y
=
2
12
x
\newline
(D)
y
=
5
5
x
y=\frac{5}{5} x
y
=
5
5
x
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The quantity
z
z
z
varies directly with
y
y
y
and inversely with
x
x
x
. When
y
=
−
12
y = -12
y
=
−
12
and
x
=
−
4
x = -4
x
=
−
4
,
z
=
−
36
z = -36
z
=
−
36
. What is the equation of variation? Write your answer in the form
A
A
A
or
A
B
\frac{A}{B}
B
A
, where
A
A
A
and
B
B
B
are constants or variable expressions. Remember to include the value of
k
k
k
, the constant of variation, in exact form.
\newline
z
\ z
z
=______
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