Question 79102: Ok, i'm working with inverse variations. I have to find out the constant of variation by looking at two points. An example of one of the problems is like this: "(4,1) The point is from a model for inverse variation. Find the constant of variation." How do you find the constant of variation, or more importantly, what do all these terms mean?
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! Ok, i'm working with inverse variations. I have to find out the constant of variation by looking at two points. An example of one of the problems is like this: "(4,1) The point is from a model for inverse variation. Find the constant of variation." How do you find the constant of variation, or more importantly, what do all these terms mean?
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You are being told that y varies inversely as x; that means y decreases
as x increases.
The constant of variation is a constant that effects the amount of variation
between x and y.
Formula: y=k/x
k is the constant of variation.
Your Problem:
y=1 when x=4
So, 1=k/4
k=4 (that is the constant on variation)
Equation:
y=4/x (this implies that yx=4; since the product is always 4, if
y increases x must decreas; can you see that?)
Cheers,
Stan H.
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