The Equation Y Kx is Called

Introduction to the equation y  kx is called:
If  x and y are the two variables, y is directly proportional to x and there is a constant k exists. (Constant k is always not equal to zero). This is called as direct proportionality. It is denoted as y ∝ x.

If we want to remove the proportionality symbol, then we use the constant k. It also can be written as y = k x.

where,  k =` y / x` .   k is called a proportionality constant (or) constant of proportionality. Now, we are going to see some of the problems on the equation y  kx is called an direct proportionality. Having problem with Addition of Polynomials keep reading my upcoming posts, i will try to help you.

Example Problem Related to the Equation Called as Y Kx:

Example problem 1:

Let us assume the variable y is directly proportional to x. Given y = 60 and x = 20. Write an equation which is called as a direct proportionality that relates x and y.

Solution:

Given y = 60 and x = 20

Direct proportionality, y ∝ x

It also can be written as y = k x

Substituting the given x and y values in the above equation,

60 = k * 20

Divide by 20 on both sides of the equation

`60 / 20 = (20k) / 20`

k = 3

Substitute the value of k in the equation y = kx.

So, the equation is y = 3x. I have recently faced lot of problem while learning greatest integer function, But thank to online resources of math which helped me to learn myself easily on net.

Additional Problem Related to the Equation Called as Y Kx:

Example problem 2:

Let us assume x and y are the variables. If y varies directly as x and the value of y = 66 when the value of x = 11.

1)      Find the value of proportionality constant

2)      Calculate the value of y when x = 22

3)      Calculate the value of x when y = 33

Solution:

1) Given y = 66 and x = 11

Direct proportionality, y ∝ x

It also can be written as y = k x

Substituting the given x and y values in the above equation,

66 = k * 11

Divide by 11 on both sides of the equation

`66 / 11 = (11k) / 11`

k = 6

So, the proportionality constant k =6.

2) Substitute the value of x = 22 and the proportionality constant k = 6 in the equation y = k x

y = 6* 22

y = 132

So, the value of y = 132.

3) Substitute the value of y = 33 and the proportionality constant k = 6 in the equation y = k x

33 = 6 x

Divide by 6 on both sides of the equation

`33 / 6 = (6x) / 6`

x = 5.5

So, the value of x = 5.5.

Practice Problems Related to the Equation Y Kx:

1) Let us assume the variable y is directly proportional to x. Given y = 26 and x = 13. Write an equation which is called as a direct proportionality that relates x and y. (Answer:  y =  2x).

2) Let us assume the variable y is directly proportional to x. Given y = 50 and x = 10. Write an equation which is called as a direct proportionality that relates x and y. (Answer: y = 5x).