How to find inverse variation - GRE Quantitative Reasoning
Card 1 of 40
When 
, 
.
When 
, 
.
If 
varies inversely with 
, what is the value of 
when 
?
When
If
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If 
varies inversely with 
, 
.
1. Using any of the two 
combinations given, solve for 
:
Using 
:
2. Use your new equation 
and solve when 
:
If
1. Using any of the two
Using
2. Use your new equation
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Find the inverse equation of:
Find the inverse equation of:
Tap to reveal answer
To solve for an inverse, we switch x and y and solve for y. Doing so yields:
To solve for an inverse, we switch x and y and solve for y. Doing so yields:
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x y 
If 
varies inversely with 
, what is the value of 
?
| x | y |
|---|---|
| |
| |
| |
| |
If
Tap to reveal answer
An inverse variation is a function in the form: 
or 
, where 
is not equal to 0.
Substitute each 
in 
.
Therefore, the constant of variation, 
, must equal 24. If 
varies inversely as 
, 
must equal 24. Solve for 
.
An inverse variation is a function in the form:
Substitute each
Therefore, the constant of variation,
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Find the inverse equation of 
.
Find the inverse equation of
Tap to reveal answer
1. Switch the 
and 
variables in the above equation.
2. Solve for 
:
1. Switch the
2. Solve for
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and 
vary inversely. When 
, 
. When 
, 
. What does 
equal when 
?
Tap to reveal answer
Because we know 
and 
vary inversely, we know that 
for some 
.
When 
, 
. 
.
When 
, 
. 
.
Therefore, when 
, we have 
so 
Because we know
When
When
Therefore, when
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When , .
When , .
If varies inversely with , what is the value of when ?
When
If
Tap to reveal answer
If varies inversely with , .
1. Using any of the two combinations given, solve for :
Using :
2. Use your new equation and solve when :
If
1. Using any of the two
Using
2. Use your new equation
← Didn't Know|Knew It →
Find the inverse equation of:
Find the inverse equation of:
Tap to reveal answer
To solve for an inverse, we switch x and y and solve for y. Doing so yields:
To solve for an inverse, we switch x and y and solve for y. Doing so yields:
← Didn't Know|Knew It →
x y
If varies inversely with , what is the value of ?
| x | y |
|---|---|
| |
| |
| |
| |
If
Tap to reveal answer
An inverse variation is a function in the form: or , where is not equal to 0.
Substitute each in .
Therefore, the constant of variation, , must equal 24. If varies inversely as , must equal 24. Solve for .
An inverse variation is a function in the form:
Substitute each
Therefore, the constant of variation,
← Didn't Know|Knew It →
Find the inverse equation of .
Find the inverse equation of
Tap to reveal answer
1. Switch the and variables in the above equation.
2. Solve for :
1. Switch the
2. Solve for
← Didn't Know|Knew It →
and vary inversely. When , . When , . What does equal when ?
Tap to reveal answer
Because we know and vary inversely, we know that for some .
When , . .
When , . .
Therefore, when , we have so
Because we know
When
When
Therefore, when
← Didn't Know|Knew It →
Find the inverse equation of:
Find the inverse equation of:
Tap to reveal answer
To solve for an inverse, we switch x and y and solve for y. Doing so yields:
To solve for an inverse, we switch x and y and solve for y. Doing so yields:
← Didn't Know|Knew It →
x y
If varies inversely with , what is the value of ?
| x | y |
|---|---|
| |
| |
| |
| |
If
Tap to reveal answer
An inverse variation is a function in the form: or , where is not equal to 0.
Substitute each in .
Therefore, the constant of variation, , must equal 24. If varies inversely as , must equal 24. Solve for .
An inverse variation is a function in the form:
Substitute each
Therefore, the constant of variation,
← Didn't Know|Knew It →
Find the inverse equation of .
Find the inverse equation of
Tap to reveal answer
1. Switch the and variables in the above equation.
2. Solve for :
1. Switch the
2. Solve for
← Didn't Know|Knew It →
When , .
When , .
If varies inversely with , what is the value of when ?
When
If
Tap to reveal answer
If varies inversely with , .
1. Using any of the two combinations given, solve for :
Using :
2. Use your new equation and solve when :
If
1. Using any of the two
Using
2. Use your new equation
← Didn't Know|Knew It →
and vary inversely. When , . When , . What does equal when ?
Tap to reveal answer
Because we know and vary inversely, we know that for some .
When , . .
When , . .
Therefore, when , we have so
Because we know
When
When
Therefore, when
← Didn't Know|Knew It →
When , .
When , .
If varies inversely with , what is the value of when ?
When
If
Tap to reveal answer
If varies inversely with , .
1. Using any of the two combinations given, solve for :
Using :
2. Use your new equation and solve when :
If
1. Using any of the two
Using
2. Use your new equation
← Didn't Know|Knew It →
Find the inverse equation of:
Find the inverse equation of:
Tap to reveal answer
To solve for an inverse, we switch x and y and solve for y. Doing so yields:
To solve for an inverse, we switch x and y and solve for y. Doing so yields:
← Didn't Know|Knew It →
x y
If varies inversely with , what is the value of ?
| x | y |
|---|---|
| |
| |
| |
| |
If
Tap to reveal answer
An inverse variation is a function in the form: or , where is not equal to 0.
Substitute each in .
Therefore, the constant of variation, , must equal 24. If varies inversely as , must equal 24. Solve for .
An inverse variation is a function in the form:
Substitute each
Therefore, the constant of variation,
← Didn't Know|Knew It →
Find the inverse equation of .
Find the inverse equation of
Tap to reveal answer
1. Switch the and variables in the above equation.
2. Solve for :
1. Switch the
2. Solve for
← Didn't Know|Knew It →
and vary inversely. When , . When , . What does equal when ?
Tap to reveal answer
Because we know and vary inversely, we know that for some .
When , . .
When , . .
Therefore, when , we have so
Because we know
When
When
Therefore, when
← Didn't Know|Knew It →