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The constant of proportionality in the equation y = 3.8x is 3.8. This means that for every unit increase in x, y will increase by 3.8 times that amount. It represents the ratio between the two variables and remains constant throughout the relationship.
No, not all do. The proportionality constants that change the units will have units themselves.
a non-stop rate * * * * * No it is not. A non-stop rate can be faster and slower and faster and faster still etc. That is NOT a constant rate, A constant rate means the same amount for any unit of time in the whole time interval. The rate must not change at all from start to finish.
It depends on the context. It can mean 1000 (as in kilo). It can represent a constant, specially a constant of proportionality. It can represent a unit vector in the third mutually perpendicular direction (the z-axis). It is often used as an index (often after i and j).
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