Question 160216
X varies directly with Y. Find the constant of variation if X=4 and Y=16 

I will do this one.  You can then use my notes to solve question 2.

Ready?

If x varies directly with y, we can write the equation like x = yk, where k represents the constant of variation.

The constant ratio is called the constant of variation.

You are given x = 4 and y = 16.

Plug those two values into the equation given above and solve for k.

x = yk

4 = 16k

Divide both sides by 16.

4/16 = k

1/4 = k  

Did you follow?

Now, do the next question exactly the same way.

If you cannot, then write back.