Thread: direct variation

Doing some online classes and confused about many problems, I'd like to see if my answer is correct. Here's the problem:

For the following direct variation, give an equation that relates the two variables and includes a variation constant.

The kinetic energy (KE) of a 1 kg mass is directly proportional to the square of the speed (v). Variation constant = 1/2.

Can someone give me the answer, show the work, and explain how you got it? Thanks.

This ones more confusing:

Suppose that w varies directly as z2 and inversely as xy. When w = 10, x = 15, y = 2, and z = 5. Find z when w = 2, x = 8, and y = 27.

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Variation Equations