Question

If z is directly proportional to x and z=12 when x=3,
find the value of x when z=18.

Answer 1

Answer:

GIVEN :

The variable z is directly proportional to x and z=12 when x=3.

TO FIND :

The value of x when z =18

SOLUTION :

Given that z is directly proportional to x and z=12 when x=3.

Now we have to find the value of x when z=18 :

The variable z is directly proportional to x.

When z is 12 , x has the value 3

A directly proportional variable z to x can be written as,

where k is constant of proportionality.

Now we have,

 (∵  z=12 when x=3)

∴  

Now put z=18 then  

Substitute the value of k in the above equation we get

∴ x=72 when z=18.

∴ the value of x when z=18 is 72.

Step-by-step explanation:

mark me branilist