Respuesta :

TheBreeze
The given is that y varies directly with x:
y = xk
8 = 2k
k = 4

Now we know that the constant is 4. Make a new equation:

y = xk
y = 10(4)
y = 40

-T.B.

Answer:

y=40

Step-by-step explanation:

It is given that y directly varies with x.

Hence we can write the relation between x and y as:

[tex]y=kx[/tex] where k is an arbitrary constant

It is also given y=8 when x=2 then k=[tex]\frac{y}{x}=\frac{8}{2}=4[/tex]

So the relation is [tex]y=4x[/tex]

Therefore when x=10,

[tex]y=4\times10=40[/tex]