Question

Variable y varies directly with variable x, and y = 6 when x = 20.

What is the constant of variation in decimal form?

Answer 1

A direct variation means it will have a form similar to this: \(y=\color{red}{k} x\) where k is the constant.

So you have to use the given information to find k like so: \(\Large 6=20\color{red}{k}\)

Answer 2

& then you have to divide both sides by 20 right?

Answer 3

Yes, and that will give you k, which can be plugged back into the equation.

Answer 4

so the answer would be 0.3?

Answer 5

Yup

Answer 6

ok thank you :)