Respuesta :
The missing value of direct variation is 10
What is direct variation ?
The direct variation property states that , whenever the division of values of two quantities is a constant value then there is same variation between these two corresponding values. Or we can also say that if the divisible nature of two corresponding values is constant, then one quantity is directly varies with second quantity. That mean if one quantity increase other will also increase and vice versa.
Let say if x and y are two values and k is a constant value, then
According to direct variation
k = y/x or y = k x
In the given question,
Take the order pair (2,5)
As it is an direct variation, we can substitute it
y=k x
5=k (2)
K=2.5
Now find the direct variation equation
y=k x
Also, k=2.5
Solve this equation for the second pair (4,y)
As, y=2.5 x
y= 2.5 (4) = 10
Therefore, missing value is 10
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