How to find inverse variation - ACT Math
Card 0 of 5
Find the inverse equation of:
Find the inverse equation of:
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
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
1. Switch the 
and 
variables in the above equation.
2. Solve for 
:
1. Switch the
2. Solve for
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When 
, 
.
When 
, 
.
If 
varies inversely with 
, what is the value of 
when 
?
When
If
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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Two numbers 
and 
vary inversely, and 
when 
. If this is true, what is the value of 
when 
?
Two numbers
If 
when 
, and the variation is direct, then 
. Using this, we know that if 
, 
.
If
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