Write the inverse variation equation for x and y if y varies inversely with x, and y=1/2 when x=10.

Answer 1

If two values are inversely proportional, that means they satisfy the equation y = k/x for some constant k. If you have two of the variables given, then you can just solve for k and use that in the general equation!

In this example, we have x = 10 and y = 12, so we solve:

12 = k/10

k = 12 * 10 = 120

So, with 120 as our constant, we can write the general form y = 120/x.

I hope this helped!