Question

The variable z is directly proportional to x. When x is 8, z has the value 152.

What is the value of z when x = 12?

Answer 1

The problem belongs to direct variation.

Z is directly propotional to x.

if we remove propotionality symbol will get a constant.

`Z=kx`.

we know that
`x=8`.

`z=152`.

`k=z/x`.

`k=152/8`.

`k=19.`.

when
`x=12`.

`z=kx`.

`z=19*12=228.`