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If two variables, X and Y, are linked by a relationship according to which
X = 0 when Y = 0 (and conversely)
and
a unit change in X results in a change in Y of k units (either always positive or always negative), then k is the constant of proportionality between X and Y.
The relationship between X and Y can be written ay Y/X = k (X not 0)
or more generally, as Y = k*X
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Does a constant of proportionality exist?
Yes, it does. Every time there are variables in direct or inverse relationship, there is a constant of proportionality.
If y equals kx then what is the relationship between x y and k?
Various options: y is directly proportional to k, with x as the constant of proportionality; y is directly proportional to x, with k as the constant of proportionality; x is inversely proportional to k, with y as the constant of proportionality; x is directly proportional to y, with 1/k as the constant of proportionality; k is directly proportional to y, with 1/x as the constant of proportionality; and k is inversely proportional to x, with y as the constant of proportionality.
What is a constant ratio of two variables that are related proportionally?
It is the constant of proportionality.
What is a non example of a constant of proportionality?
Well, isn't that a happy little question! A non-example of a constant of proportionality would be a relationship where the ratio between two quantities is not always the same. Imagine a situation where the more you paint, the less paint you use each time - that would not have a constant of proportionality. Just like in painting, it's all about finding balance and harmony in the relationships around us.
What is the definition constant of proportionality?
The state of being in proportion.
