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ThαtButtєřflíєs

Here, x and y have a proportional relationship.So, we can write this as –

x ∝ y

↠ x = cy (c = constant). . . Eq(1)

Now, we are given x =3 and y = 6. We have to find out the value of c so just substitute the values of x and y into Eq(1).

↠ 3 = c × 6

↠ c = 3/6

↠ c = 1/2

  • Therefore, value of c is 1/2.

Substituting value of c in Eq(1)–

↠ x = 1/2 y

or, y = 2x.

VirαtKσhli

Answer:

x = 1/2y .

Step-by-step explanation:

Here it is given that ,

  • x and y have a proportional relationship. Since it's not mentioned whether it is direct or indirect I am assuming it to be direct .

We can write this mathematically as,

[tex]\longrightarrow x \propto y [/tex]

If we assume k to be constant , then ,

[tex]\longrightarrow x = ky \ ..... (i)[/tex]

Again when y = 6 , the value of x is 3 , so that;

[tex]\longrightarrow 3 = k(6) [/tex]

Divide both sides by 6 ,

[tex]\longrightarrow \dfrac{3}{6}=k [/tex]

Simplify ,

[tex]\longrightarrow k =\dfrac{1}{2} [/tex]

Now substitute the value of k in equation (i),

[tex]\longrightarrow\underline{\underline{ x =\dfrac{1}{2}y}}[/tex]

This is the required answer!

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