Question

if y is directly proportional to X and y=12. when X=16, then the value of x when y=5 is

( in fraction)​

Answer 1

Step-by-step explanation:

y directly proportional to x

y / x = k -------(1) k is constant

when y = 12, x = 16

12 / 16 = k

3 / 4 = k

y / x = 3 / 4

when y = 5 , x = ?

y / x = 3 / 4

5 / x = 3 / 4

x = 3 / 4 × 1 / 5

x =3 / 20

Answer 2

Answer:

The correct answer  is x = 20/3      

Step-by-step explanation:

Given Data

y is directly proportional to x

here  y = 12  and x = 16  

Now we need to find the value of x when y = 5

given y is directly proportional to x

⇒     y ∝ x

⇒     y = kx     [ where k is constant ]

given  y = 12  and x = 16  

⇒        y = kx

⇒       12 = k (16)

⇒        3 = 4 k

⇒       k = 4/3

if y = 5   then     5 = (3/4)x  

                        3x  = 20    

                         x = 20/3