0
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.
What else can I help you with?
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.
How do you find constant of proportionality using equation?
If the equation is y = kx then the constant of proportionality is k.
What is the proportionality constant?
The constant of proportionality for y = 0.95x is 0.95
What is the constant of proportionality?
The constant of proportionality for y = 0.95x is 0.95
What is the constant proportionality of y0.95x?
The constant of proportionality for y = 0.95x is 0.95
How do you find constant in math?
The answer depends on what the constant is: the y-intercept in a linear graph, constant of proportionality, constant of integration, physical [universal] constant.
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.
What does constant of proportionality represent?
The constant of proportionality is the ration that relates two given values in what is known as a proportinal relationship. Other names for the constant of proportionality include the constant ratio, constant rate, unit rate, constant variation, or even the rate of change.
What is the unit of coulombs law the constant of proportionality has?
The unit of the constant of proportionality in Coulomb's law is Nm²/C² or Vm.
How do you find the constant of proportionality?
K=Constant of proportionalityF=Force measured in N∆L= Total lengthK=F/∆L
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.
Does proportionality constant have dimensions?
Yes, a proportionality constant can have dimensions, depending on the relationship it describes. For example, in the equation ( F = kx ) (where ( F ) is force, ( k ) is the proportionality constant, and ( x ) is displacement), the constant ( k ) has dimensions of force per unit displacement. However, in some relationships where quantities are dimensionless, the proportionality constant may also be dimensionless.
How do you find the constant of proportionality using a graph?
To find the constant of proportionality using a graph, identify two points on the line that represents the proportional relationship. Calculate the ratio of the values of the dependent variable (y) to the independent variable (x) at these points, which is given by the formula ( k = \frac{y}{x} ). This ratio remains constant for all points on the line, representing the constant of proportionality. If the graph passes through the origin, the slope of the line also represents this constant.
