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You need to know the basic relationship between the variables: whether they are directly of inversely proportional to each other - or to a power of the other. Also, you need one scenario for which you know the values of both variables.
So suppose you have 2 variables A and B and that A is directly proportional to the xth power of B where x is a known non-zero number. [If the relationship is inverse, then x will be negative.]
Then A varies as B^x or A = k*B^x
The nature of the relationship gives you the value of x, and the given scenario gives you A and B. Therefore, in the equation A = k*B^x, the only unknown is k and so you can determine its value.
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What is a constant of proportionality?
Let's begin by assuming you have a direct ratio. 2 apples cost 45 cents. The constant of proportionality will be the apples per cent, or 2/45. Now, let's say you have an indirect proportionality. When x=6, y=10. Also, when x=5, y=12. Here, the C.O.P. is the total product of the numbers, so 6*10=60 and 5*12=60, which is no coincidence. The COP would be 60.
What does the proportionality constant k in coulombs law is huge in ordinary units whereas the proportionality constant g in newtons law of gravition is tiny mean?
It means that the force of electrical attraction (or repulsion) between two particles with units charges will be greater than the gravitational attraction between two particles with unit mass which are the same distance apart.
Why you use k as constant in proportional values?
Any letter of the alphabet - or indeed other alphabets - can be used. The letters c and k are the more common symbols because they represent the phonetic start of "constant".Variables are often represented by the initial letter of the variable: v for velocity, t for time, m for mass and so on, or by letters at either end of the alphabet: a, b, c or x, y, z. Clearly, it can be confusing to use any of these as the constant of proportionality. So, through convention, k was selected as the default symbol.
What is the Physical significance of general gas constant?
if r is not determine, then other parameters are no find out easily
What is a monomial that is a real number with no variable?
A [real] constant.
