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?

Respuesta :

The problem belongs to direct variation.

Z is directly propotional to x.

if we remove propotionality symbol will get a constant.

[tex] Z=kx [/tex].

we know that [tex] x=8 [/tex].

[tex] z=152 [/tex].

[tex] k=z/x [/tex].

[tex] k=152/8 [/tex].

[tex] k=19. [/tex].

when [tex] x=12 [/tex].

[tex] z=kx [/tex].

[tex] z=19*12=228. [/tex]