Question

If y varies directly as x and k=8 , find x when y =8

Answer 1

x = 1

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

Answer 2

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

`k = 8`

Then, the equation would be:

`y= kx`

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

`(8)/(8)=x\\x=1`

Thus,
`x =1\ when\ y = 8,` according to the given proportionality constant.

Answer:

`x = 1`