Question

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!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answer 1

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

Answer 2

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,

`x \alpha y`

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