Question

If y is 6 when x is 3 and y varies directly with x, find y when x is 8.

Answer 1

looks like y = 2x if its direct variation

substitute x = 4 to find y

Answer 2

so is 4?

Answer 3

oops should read substitute x = 8 to find y

Answer 4

Since y varies directly with x, y = kx, where k is unknown constant. We know that y = 6 when x = 3 so plug these value into the equation:

6 = k(3)
Divide both sides by 3.
2 = k

We know that constant is 2.

That's where @campbell_st get the equation y = 2x.
Now we know that x = 8. Plug it into the equation then solve for y.

Answer 5

Is this clear? No?

Answer 6

yes