The variables x and y have a proportional relationship, and y=1/3 when x=3/4. Which equation represents this relationship? y=4/9x y=1/4x y=2/14x y=5/12x

Respuesta :

Answer:

y = 4/9x

Step-by-step explanation:

1/3 ÷ 3/4 = 1/3 * 4/3 = 4/9

y = (4 / 9)x  equation represents the relation as per the condition given.

What are variables?

" Variables are the quantities which can changed as per the condition applied on it."

Formula used

  y ∝ x

⇒y = k x

x, y are variables

k is the constant of proportionality

According to the question,

Given,

y = (1 / 3)

x =(3 / 4)

Substitute the value of the variables in the formula we get,

y = k x                                              _____(1)

( 1 / 3) = k ( 3 / 4)

⇒k = ( 1 / 3) × ( 4 / 3)

     = 4 / 9

Again substitute the value of k in equation we get,

y = ( 4 / 9) x

Hence, y = (4 / 9)x  equation represents the relation as per the condition given.

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