Answer:
1/4
Step-by-step explanation:
y varies directly as x means you should translate this as y=kx.
y varies indirectly as x means you should translate this as y=k/x.
Anyways we had directly, so the equation is of the form y=kx for any point (x,y) where k is the constant.
We are given y=kx and that this equation should satisfy (x,y)=(8,2).
So let's plug in 8 for x and 2 for y giving us
2=k*8
Divide both sides by 8:
2/8=k
Simplify:
1/4=k
So k is a constant, that constant, the never changing number, for the point (x,y) is 1/4.
That means the equation is y=1/4 *x. The 1/4 is the constant of variation, also called the constant of proportionality.
