Question

The variables x and y vary directly. Use the values to find the constant of proportionality, k. Then write an equation that relates x and y. Write any fractions in simplest form. Y=20; x=12

Answer 1

Vary Directly: x = k*y

Vary Inversely: x = k/y

Because x and y vary directly, our equation will look like the first one.

x = k*y

With the inputted values:

12 = k * 20

Now, to find k, isolate the variable

`(12)/(20) = ((k*20))/(20)`

Therefore,

k = 12/20 = 3/5 = 0.6

Your final equation will then look like this:

x = 3/5 * y or x = 0.6 * y

Answer 2

k = 5/3

y = 5/3x

Explanation:

We did this in math- and I need the points haha. Hope this helped! :)