Constant of proportionality :
Equation: y = ka
How are the values calculated?
a: 2, 3, 10, and 12
y: 2/3, 1, 10/3, and 4
Let the constant of proportionality = k
If x and y are directly proportional ,
We know , k =
Here, k =
Considering y = 2/3 and a =2
k = =
=
Thus, the constant of proportionality ( k) =
The equation y is given by ,
y = ka
Let us verify,
For k = 1/3 and a = 12
Thus the equation is y = ka
What is constant of proportionality?
- The constant value of the ratio between two proportional values is known as the constant of proportionality.
- When the ratio or product of two changing quantities gives a constant, the two are said to be in a relation of proportionality.
- The type of proportion between the two specified variables affects the constant of proportionality's value.
- The formula y = kx can be used to determine the value of "k" in a direct proportionality.
- Direct proportionality follows that k = y/x.
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