poop2344oo poop2344oo
  • 14-03-2022
  • Mathematics
contestada

Variables y and x have a proportional relationship, where y = 18 when x = 2.


What is the value of x when y = 36?

Respuesta :

ujalakhan18
ujalakhan18 ujalakhan18
  • 14-03-2022

Answer:

[tex]\huge\boxed{\sf x = 4}[/tex]

Step-by-step explanation:

Given that:

[tex]y \propto x[/tex]

Converting proportionality into equality

[tex]y = kx[/tex] ----------------(1)

y = 18 when x = 2

Put it in Eq. (1)

[tex]\displaystyle 18 = k(2)\\\\Divide \ both \ sides \ by\ 2\\\\\frac{18}{2} = k\\\\9 = k\\\\ \boxed{k = 9}[/tex]

Now,

x = ? when y = 36

Put it in Eq. (1)

[tex]36 = (9) x\\\\Divide \ both \ sides \ by \ 9\\\\36 / 9 = x\\\\4 =x \\\\\boxed{x = 4}\\\\\rule[225]{225}{2}[/tex]

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