Question

What is the constant of proportionality in the equation?

Y= 5 x

A. 0
B. 1
C. 4
D. 5

Answer 1

5

Explanation:

In Y = 5X .

Y is proportional to X.

Now, When We will increase X by 1 , Y will increase by 5,

As we can see from the equation

So Constant of proportionality is 5.

{Y = 5X

`(Y)/(X)` = 5}

Constant of proportionality is the ratio between two quantities which are directly proportional to each other .

Answer 2

The constant of proportionality is option D i.e 5.

Explanation:

Variation:

Variation problems involve fairly simple relationships or formulas, involving one variable being equal to one term. There are two types of variation i.e.

1. Direct variation
2. Inverse variation

Direct Variation:

Mathematical relationship between two variables that can be expressed by an equation in which one variable is equal to a constant times the other.

Example
`y=kx`

where, k is constant of proportionality.

The above given example is of Direct Variation

∴ y = 5 x

∴ k = 5 = constant of proportionality.

Inverse Variation:

Mathematical relationship between two variables which can be expressed by an equation in which the product of two variables is equal to a constant.

Example
`yx=k`

where, k is constant of proportionality.