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When you have a statement such as ;-
'y' as directly proportional to 'x'
Then we can equate this by writing.
y = kx ( Where 'k' is the constant of proportionality.
Similarly 'y' as inverselyly proportional to 'x'
Then 'y' as directly proportional to '1/x'
Equating
y = k/x
Or 'y' as inversely square proportional to 'x'
Then y directly proportional to 1/x^(2)
Equating
y = k/x^(2)
To find the constant 'k'
Then you need to value that form this proportion.
e.g. x = 2 and y = 4.
Hence
y = kx
k = y/x
k = 4/2 = 2
Hence the quation becomes
y = 2x
NB THe most famous constant of proportionality if is 'pi' of circular fame.
It was found that the circumference is directly proportional to the diameter/
C directly proportional to 'd'
C = K d
K = C/d
K is pi = 3.141582.... ~ 3.14 or 3.1416.
NB for all proportional calculations 'K' is used for the constant of proportionality, except for circles , were 'pi' is used.
What else can I help you with?
What is the variable in the equation 12k20?
k
What is the variable in the equation 12k equals 20?
k is the variable.
In the equation ykx k is the constant of what?
In the equation ( y = kx ), the constant ( k ) represents the proportionality constant that relates the variables ( y ) and ( x ). This means that for every unit increase in ( x ), ( y ) will change by ( k ) units, indicating a direct linear relationship between the two variables. The value of ( k ) determines the slope of the line when graphed on a coordinate plane.
What is 5r plus 20 equals 40?
It is a linear equation in the variable r.
What is the geometric significant of k in equation yx3 k?
This equation yx3 k is that of a parabola. The variable h and k represent the coordinents of the vertex. The geometrical value k serves to move the graph of the parabola up or down along the line.
What is a function defined by an equation of the form ykx where k is a nonzero constant?
Set of instruction are known as function.
What is the variable in the equation 12k 20?
The variable is k.
If ykx then what is the relationship between k and y?
k is the operator; y is the initiend.
What is the variable in the equation 12k20?
k
What is the variable in the equation 12k equals 20?
k is the variable.
What does K represent in Math?
K can be a variable, it is commonly a variable in the quadratic equation y=a(x-h)2+k K is the y-intercept.
What does the k represent in the direct variation ykx?
The constant of variation in a direct variation is the constant (unchanged) ratio of two variable quantities. The formula for direct variation is. y=kx (or y=kx ) where k is the constant of variation .
In the equation ykx k is the constant of what?
In the equation ( y = kx ), the constant ( k ) represents the proportionality constant that relates the variables ( y ) and ( x ). This means that for every unit increase in ( x ), ( y ) will change by ( k ) units, indicating a direct linear relationship between the two variables. The value of ( k ) determines the slope of the line when graphed on a coordinate plane.
What is an equation that shows that one variable varies directly with the square of the other variable?
y=x^2 * k k=constant of proportionality OR y/x^2 = k
What is 5r plus 20 equals 40?
It is a linear equation in the variable r.
What does 3k plus 16 equals 5k?
It represents an algebraic equation in the variable, k.
What is the geometric significant of k in equation yx3 k?
This equation yx3 k is that of a parabola. The variable h and k represent the coordinents of the vertex. The geometrical value k serves to move the graph of the parabola up or down along the line.
