Respuesta :

Answer:

x = 1

Step-by-step explanation:

Given that y varies directly as x then the equation relating them is

y = kx ← k is the constant of variation

here k = 8, thus

y = 8x ← equation of variation

When y = 8, then

8x = 8 ( divide both sides by 8 )

x = 1

For this case we have that the variables x and y vary directly according to the following constant of proportionality.

[tex]k = 8[/tex]

Then, the equation would be:

[tex]y= kx[/tex]

Substituting the value of y, we have the value of x

[tex]\frac{8}{8}=x\\x=1[/tex]

Thus, [tex]x =1\ when\ y = 8,[/tex] according to the given proportionality constant.

Answer:

[tex]x = 1[/tex]