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If x and y vary directly, and x = 12 when y = 3, what will be the value of x when y = 9? 36 27 4.5

100 POINTS!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Respuesta :

Answer/Step-by-step explanation:

if      x = 12 when y = 3

then x = 36 when y = 9

3 x 3 = 9

12 x 3 = 36

The value of x when y = 9 is 36

Solution:

Given that, x and y vary directly,  

And x = 12 when y = 3,  

We have to find what will be the value of x when y = 9

Now from the given information,

[tex]x \alpha y[/tex]

x = cy ---- eqn 1

where "c" is the proportionality constant

Now, substitute x = 12 and y = 3 in (1)

12 = c(4)  

c = 3

Then, (1) ⇒ x = 4y

So, when y = 9 ⇒ x = 4(9) ⇒ x = 36

Hence, x value is 36 when y value is 9, so 1st option is correct

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