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Math Problems
Algebra 1
Write and solve inverse variation equations
Activity # Bor Regir Bounded by curves Find the area & the region bunded by the following paiv of curves.
\newline
Region
\newline
R
R
R
is brunded by
\newline
y
2
=
2
x
y^{2}=2x
y
2
=
2
x
and
\newline
y
=
x
−
4
y=x-4
y
=
x
−
4
. Answer
18
18
18
s.u.
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y
y
y
is inversely proportional to
q
q
q
.
\newline
When
y
=
3
,
q
=
2
y=3, q=2
y
=
3
,
q
=
2
\newline
Find a formula connecting
y
y
y
and
q
q
q
.
\newline
y
=
θ
y=\theta
y
=
θ
\newline
Submit Answer
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Secondary
→
\rightarrow
→
Number
→
\rightarrow
→
Ratio \& Proportion
\newline
386
386
386
d: Determine the formula connecting two
\newline
Watch Worked Example
\newline
variables which are inversely proportional.
\newline
Q
1
1
1
\newline
Q
2
2
2
\newline
Q
3
3
3
\newline
Q
4
4
4
\newline
Q
5
5
5
\newline
Q
6
6
6
\newline
Q
7
7
7
\newline
Q
8
8
8
\newline
Q
9
9
9
\newline
Q
10
10
10
\newline
Q
11
11
11
\newline
Q
12
12
12
\newline
Q
13
13
13
\newline
Q
14
14
14
\newline
Q
15
15
15
\newline
Q
16
16
16
\newline
Q
17
17
17
\newline
Q
18
18
18
\newline
Q
19
19
19
\newline
Q
20
20
20
\newline
COMPLETION
\newline
50
%
50 \%
50%
\newline
p
p
p
is inversely proportional to
x
x
x
.
\newline
When
p
=
2
,
x
=
4
p=2, x=4
p
=
2
,
x
=
4
\newline
Find a formula connecting
p
p
p
and
x
x
x
.
\newline
p
=
p=
p
=
\newline
□
\square
□
\newline
Submit Answer
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$
1
\$ 1
$1
and
2
2
2
are complementarg. If
m
∠
1
=
7
x
+
16
m \angle 1=7 x+16
m
∠1
=
7
x
+
16
and
m
∠
2
=
4
x
−
5
m \angle 2=4 x-5
m
∠2
=
4
x
−
5
then find measure of
∠
2
\angle 2
∠2
.
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For each value of
y
y
y
, determine whether it is a solution to
1
=
y
9
+
6
1=\frac{y}{9}+6
1
=
9
y
+
6
.
\newline
\begin{tabular}{|c|c|c|}
\newline
\hline \multirow{
2
2
2
}{*}{
y
y
y
} & \multicolumn{
2
2
2
}{|c|}{ Is it a solution? } \\
\newline
\cline {
2
2
2
-
3
3
3
} & Yes & No \\
\newline
\hline
72
72
72
&
◯
\bigcirc
◯
& \\
\newline
\hline
−
45
-45
−
45
&
◯
\bigcirc
◯
&
◯
\bigcirc
◯
\\
\newline
\hline
−
9
-9
−
9
& & \\
\newline
\hline
54
54
54
& & \\
\newline
\hline
\newline
\end{tabular}
\newline
Explanation
\newline
Check
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If
y
y
y
varies inversely with
x
x
x
and
y
=
−
5
y = -5
y
=
−
5
when
x
=
15
x = 15
x
=
15
, find
y
y
y
when
x
=
−
3
x = -3
x
=
−
3
.
\newline
Write and solve an inverse variation equation to find the answer.
\newline
y
=
y =
y
=
_____
Get tutor help
An inverse variation includes the points
(
3
,
5
)
(3,\,5)
(
3
,
5
)
and
(
1
,
n
)
(1,\,n)
(
1
,
n
)
. Find
n
n
n
.
\newline
Write and solve an inverse variation equation to find the answer.
\newline
n
=
_
_
_
_
n = \,\_\_\_\_
n
=
____
Get tutor help
An inverse variation includes the points
(
25
,
2
)
(25,\,2)
(
25
,
2
)
and
(
5
,
n
)
(5,\,n)
(
5
,
n
)
. Find
n
n
n
.
\newline
Write and solve an inverse variation equation to find the answer.
\newline
n
=
_
_
_
_
n = \,\_\_\_\_
n
=
____
Get tutor help
Assume that
y
y
y
varies inversely with
x
x
x
. If
y
=
2
y = 2
y
=
2
when
x
=
20
x = 20
x
=
20
, find
y
y
y
when
x
=
5
x = 5
x
=
5
.
\newline
Write and solve an inverse variation equation to find the answer.
\newline
y
=
y =
y
=
_____
Get tutor help
If
y
y
y
varies inversely with
x
x
x
and
y
=
2
y = 2
y
=
2
when
x
=
4
x = 4
x
=
4
, find
y
y
y
when
x
=
1
x = 1
x
=
1
.
\newline
Write and solve an inverse variation equation to find the answer.
\newline
y
=
y =
y
=
_____
Get tutor help
Assume that
y
y
y
varies inversely with
x
x
x
. If
y
=
5
y = 5
y
=
5
when
x
=
20
x = 20
x
=
20
, find
y
y
y
when
x
=
4
x = 4
x
=
4
.
\newline
Write and solve an inverse variation equation to find the answer.
\newline
y
=
y =
y
=
_____
Get tutor help
Assume that
y
y
y
varies inversely with
x
x
x
. If
y
=
2
y = 2
y
=
2
when
x
=
8
x = 8
x
=
8
, find
y
y
y
when
x
=
4
x = 4
x
=
4
.
\newline
Write and solve an inverse variation equation to find the answer.
\newline
y
=
y =
y
=
_____
Get tutor help
If
y
y
y
varies inversely with
x
x
x
and
y
=
5
y = 5
y
=
5
when
x
=
8
x = 8
x
=
8
, find
y
y
y
when
x
=
2
x = 2
x
=
2
.
\newline
Write and solve an inverse variation equation to find the answer.
\newline
y
=
y =
y
=
_____
Get tutor help
An inverse variation includes the points
(
25
,
3
)
(25,\,3)
(
25
,
3
)
and
(
5
,
n
)
(5,\,n)
(
5
,
n
)
. Find
n
n
n
.
\newline
Write and solve an inverse variation equation to find the answer.
\newline
n
=
_
_
_
_
n = \,\_\_\_\_
n
=
____
Get tutor help
Assume that
y
y
y
varies inversely with
x
x
x
. If
y
=
−
4
y = -4
y
=
−
4
when
x
=
8
x = 8
x
=
8
, find
y
y
y
when
x
=
2
x = 2
x
=
2
.
\newline
Write and solve an inverse variation equation to find the answer.
\newline
y
=
y =
y
=
_____
Get tutor help
An inverse variation includes the points
(
−
12
,
4
)
(-12,\,4)
(
−
12
,
4
)
and
(
−
3
,
n
)
(-3,\,n)
(
−
3
,
n
)
. Find
n
n
n
.
\newline
Write and solve an inverse variation equation to find the answer.
\newline
n
=
_
_
_
_
_
n =\,\_\_\_\_\_
n
=
_____
Get tutor help
Assume that
y
y
y
varies inversely with
x
x
x
. If
y
=
1
y = 1
y
=
1
when
x
=
−
9
x = -9
x
=
−
9
, find
y
y
y
when
x
=
−
3
x = -3
x
=
−
3
.
\newline
Write and solve an inverse variation equation to find the answer.
\newline
y
=
y =
y
=
_____
Get tutor help
T
=
a
(
b
)
t
,
If
T
=
73
,
t
=
0
and
a
=
101
find
t
T=a(b)^{t}, \text{If} \ T=73, \ t=0 \ \text{and} \ a = 101 \ \text{find} \ t
T
=
a
(
b
)
t
,
If
T
=
73
,
t
=
0
and
a
=
101
find
t
Get tutor help
CARD
5
5
5
:
\newline
A sequence can be generated using the formula shown below.
\newline
f
(
1
)
=
26
f
(
n
)
=
f
(
n
−
1
)
+
13
\begin{array}{c} f(1)=26 \\ f(n)=f(n-1)+13 \end{array}
f
(
1
)
=
26
f
(
n
)
=
f
(
n
−
1
)
+
13
\newline
Harvey says the common difference is
13
13
13
.
\newline
Heather says the value of
f
(
4
)
f(4)
f
(
4
)
is
52
52
52
.
\newline
Harvey
\newline
Heather
Get tutor help
Practice \& Problem Solving
\newline
9
9
9
. In an inverse variation,
x
=
2
x=2
x
=
2
when
y
=
−
4
y=-4
y
=
−
4
. What is the value of
y
y
y
when
x
=
16
x=16
x
=
16
?
Get tutor help
Question
22
22
22
/
22
22
22
\newline
SUBMIT
\newline
BOOKMARK
\newline
jacob earns an hourly wage at the grocery store. The amount of his paycheck depends on how many hours he works.
\newline
Which graph represents the amount of money he earns compared to the hours he works?
\newline
(A)
\newline
B
\newline
(c)
\newline
(D)
Get tutor help
An inverse variation includes the points
(
8
,
1
)
(8,\,1)
(
8
,
1
)
and
(
2
,
n
)
(2,\,n)
(
2
,
n
)
. Find
n
n
n
.
\newline
Write and solve an inverse variation equation to find the answer.
\newline
n
=
_
_
_
_
n = \,\_\_\_\_
n
=
____
Get tutor help
An inverse variation includes the points
(
4
,
3
)
(4,\,3)
(
4
,
3
)
and
(
2
,
n
)
(2,\,n)
(
2
,
n
)
. Find
n
n
n
.
\newline
Write and solve an inverse variation equation to find the answer.
\newline
n
=
_
_
_
_
n = \,\_\_\_\_
n
=
____
Get tutor help
Assume that
y
y
y
varies inversely with
x
x
x
. If
y
=
4
y = 4
y
=
4
when
x
=
8
x = 8
x
=
8
, find
y
y
y
when
x
=
2
x = 2
x
=
2
.
\newline
Write and solve an inverse variation equation to find the answer.
\newline
y
=
y =
y
=
_____
Get tutor help
If
y
y
y
varies inversely with
x
x
x
and
y
=
4
y = 4
y
=
4
when
x
=
8
x = 8
x
=
8
, find
y
y
y
when
x
=
2
x = 2
x
=
2
.
\newline
Write and solve an inverse variation equation to find the answer.
\newline
y
=
y =
y
=
_____
Get tutor help
Assume that
y
y
y
varies inversely with
x
x
x
. If
y
=
2
y = 2
y
=
2
when
x
=
4
x = 4
x
=
4
, find
y
y
y
when
x
=
1
x = 1
x
=
1
.
\newline
Write and solve an inverse variation equation to find the answer.
\newline
y
=
y =
y
=
_____
Get tutor help
An inverse variation includes the points
(
8
,
1
)
(8,\,1)
(
8
,
1
)
and
(
4
,
n
)
(4,\,n)
(
4
,
n
)
. Find
n
n
n
.
\newline
Write and solve an inverse variation equation to find the answer.
\newline
n
=
_
_
_
_
n = \,\_\_\_\_
n
=
____
Get tutor help
If
y
y
y
varies inversely with
x
x
x
and
y
=
4
y = 4
y
=
4
when
x
=
3
x = 3
x
=
3
, find
y
y
y
when
x
=
1
x = 1
x
=
1
.
\newline
Write and solve an inverse variation equation to find the answer.
\newline
y
=
y =
y
=
_____
Get tutor help
Assume that
y
y
y
varies inversely with
x
x
x
. If
y
=
3
y = 3
y
=
3
when
x
=
8
x = 8
x
=
8
, find
y
y
y
when
x
=
4
x = 4
x
=
4
.
\newline
Write and solve an inverse variation equation to find the answer.
\newline
y
=
y =
y
=
_____
Get tutor help
An inverse variation includes the points
(
4
,
1
)
(4,\,1)
(
4
,
1
)
and
(
2
,
n
)
(2,\,n)
(
2
,
n
)
. Find
n
n
n
.
\newline
Write and solve an inverse variation equation to find the answer.
\newline
n
=
_
_
_
_
_
n = \,\_\_\_\_\_
n
=
_____
Get tutor help
An inverse variation includes the points
(
12
,
3
)
(12,\,3)
(
12
,
3
)
and
(
4
,
n
)
(4,\,n)
(
4
,
n
)
. Find
n
n
n
.
\newline
Write and solve an inverse variation equation to find the answer.
\newline
n
=
_
_
_
_
n = \,\_\_\_\_
n
=
____
Get tutor help
If
y
y
y
varies inversely with
x
x
x
and
y
=
3
y = 3
y
=
3
when
x
=
8
x = 8
x
=
8
, find
y
y
y
when
x
=
4
x = 4
x
=
4
.
\newline
Write and solve an inverse variation equation to find the answer.
\newline
y
=
y =
y
=
_____
Get tutor help
Assume that
y
y
y
varies inversely with
x
x
x
. If
y
=
1
y = 1
y
=
1
when
x
=
6
x = 6
x
=
6
, find
y
y
y
when
x
=
2
x = 2
x
=
2
.
\newline
Write and solve an inverse variation equation to find the answer.
\newline
y
=
y =
y
=
_____
Get tutor help
An inverse variation includes the points
(
2
,
4
)
(2,\ 4)
(
2
,
4
)
and
(
1
,
n
)
(1,\ n)
(
1
,
n
)
. Find
n
n
n
.
\newline
Write and solve an inverse variation equation to find the answer.
\newline
n
n
n
= _______
Get tutor help
Assume that
y
y
y
varies inversely with
x
x
x
. If
y
=
2
y = 2
y
=
2
when
x
=
16
x = 16
x
=
16
, find
y
y
y
when
x
=
4
x = 4
x
=
4
.
\newline
Write and solve an inverse variation equation to find the answer.
\newline
y
=
y =
y
=
_____
Get tutor help
If
y
y
y
varies inversely with
x
x
x
and
y
=
3
y = 3
y
=
3
when
x
=
2
x = 2
x
=
2
, find
y
y
y
when
x
=
1
x = 1
x
=
1
. Write and solve an inverse variation equation to find the answer.
y
=
y =
y
=
_____
Get tutor help
If
y
y
y
varies inversely with
x
x
x
and
y
=
3
y = 3
y
=
3
when
x
=
4
x = 4
x
=
4
, find
y
y
y
when
x
=
2
x = 2
x
=
2
. Write and solve an inverse variation equation to find the answer.
y
=
y =
y
=
_____
Get tutor help
An inverse variation includes the points
(
4
,
4
)
(4,\,4)
(
4
,
4
)
and
(
1
,
n
)
(1,\,n)
(
1
,
n
)
. Find
n
n
n
.
\newline
Write and solve an inverse variation equation to find the answer.
\newline
n
=
_
_
_
_
n = \,\_\_\_\_
n
=
____
Get tutor help
Assume that
y
y
y
varies inversely with
x
x
x
. If
y
=
4
y = 4
y
=
4
when
x
=
6
x = 6
x
=
6
, find
y
y
y
when
x
=
2
x = 2
x
=
2
.
\newline
Write and solve an inverse variation equation to find the answer.
\newline
y
=
y =
y
=
_____
Get tutor help
If
y
y
y
varies inversely with
x
x
x
and
y
=
2
y = 2
y
=
2
when
x
=
3
x = 3
x
=
3
, find
y
y
y
when
x
=
1
x = 1
x
=
1
.
\newline
Write and solve an inverse variation equation to find the answer.
\newline
y
=
y =
y
=
_____
Get tutor help
If
y
y
y
varies inversely with
x
x
x
and
y
=
3
y = 3
y
=
3
when
x
=
4
x = 4
x
=
4
, find
y
y
y
when
x
=
1
x = 1
x
=
1
.
\newline
Write and solve an inverse variation equation to find the answer.
\newline
y
=
y =
y
=
_____
Get tutor help
Assume that
y
y
y
varies inversely with
x
x
x
. If
y
=
2
y = 2
y
=
2
when
x
=
12
x = 12
x
=
12
, find
y
y
y
when
x
=
4
x = 4
x
=
4
.
\newline
Write and solve an inverse variation equation to find the answer.
\newline
y
=
y =
y
=
_____
Get tutor help
An inverse variation includes the points
(
16
,
2
)
(16,\,2)
(
16
,
2
)
and
(
4
,
n
)
(4,\,n)
(
4
,
n
)
. Find
n
n
n
.
\newline
Write and solve an inverse variation equation to find the answer.
\newline
n
=
_
_
_
_
n = \,\_\_\_\_
n
=
____
Get tutor help
An inverse variation includes the points
(
8
,
2
)
(8,\,2)
(
8
,
2
)
and
(
4
,
n
)
(4,\,n)
(
4
,
n
)
. Find
n
n
n
.
\newline
Write and solve an inverse variation equation to find the answer.
\newline
n
=
_
_
_
_
n = \,\_\_\_\_
n
=
____
Get tutor help
An inverse variation includes the points
(
8
,
3
)
(8,\,3)
(
8
,
3
)
and
(
4
,
n
)
(4,\,n)
(
4
,
n
)
. Find
n
n
n
.
\newline
Write and solve an inverse variation equation to find the answer.
\newline
n
=
_
_
_
_
n = \,\_\_\_\_
n
=
____
Get tutor help
If
y
y
y
varies inversely with
x
x
x
and
y
=
4
y = 4
y
=
4
when
x
=
4
x = 4
x
=
4
, find
y
y
y
when
x
=
1
x = 1
x
=
1
.
\newline
Write and solve an inverse variation equation to find the answer.
\newline
y
=
y =
y
=
_____
Get tutor help
Assume that
y
y
y
varies inversely with
x
x
x
. If
y
=
3
y = 3
y
=
3
when
x
=
4
x = 4
x
=
4
, find
y
y
y
when
x
=
1
x = 1
x
=
1
.
\newline
Write and solve an inverse variation equation to find the answer.
\newline
y
=
y =
y
=
_____
Get tutor help
An inverse variation includes the points
(
6
,
1
)
(6,\,1)
(
6
,
1
)
and
(
3
,
n
)
(3,\,n)
(
3
,
n
)
. Find
n
n
n
.
\newline
Write and solve an inverse variation equation to find the answer.
\newline
n
=
_
_
_
_
n = \,\_\_\_\_
n
=
____
Get tutor help
Assume that
y
y
y
varies inversely with
x
x
x
. If
y
=
4
y = 4
y
=
4
when
x
=
4
x = 4
x
=
4
, find
y
y
y
when
x
=
2
x = 2
x
=
2
.
\newline
Write and solve an inverse variation equation to find the answer.
\newline
y
=
y =
y
=
_____
Get tutor help
Assume that
y
y
y
varies inversely with
x
x
x
. If
y
=
1
y = 1
y
=
1
when
x
=
6
x = 6
x
=
6
, find
y
y
y
when
x
=
3
x = 3
x
=
3
.
\newline
Write and solve an inverse variation equation to find the answer.
\newline
y
=
y =
y
=
_____
Get tutor help
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