Respuesta :
The missing value of inverse variation is 2.5
What is Inverse variation ?
The inverse variation property states that , whenever the product of values of two quantities is a constant value then there is opposite variation between these two corresponding values. Or we can also say that if the productive nature of two corresponding values is constant, then one quantity is inversely varies with second quantity.
Let say if x and y are two values and k is a constant value, then
According to inverse variation
k = xy or y = k/x
In the given question,
Take the order pair (2,5)
As it is an inverse variation, we can substitute it
y=k/x
5=k/2
K=10
Now find the inverse variation equation
y=k/x
Also, k=10
Solve this equation for the second pair (4,y)
As, y=k/x
y = 10/4 = 5/2 = 2.5
Therefore, missing value is 2.5
To know more about inverse variation and values, visit :
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