Question

find the variation constate and an equation of variation where y varies inversely as x and y=1 whenx=6 what is the variation constant is

Answer 1

y varies inversely with x means that y = 1/x times some constant k.

So, y = k/x is the general form of an equation of variation where y varies inversely as x.

But now you also know that for a specific value x = 6, y = 1. Plug those values in to your equation to get something that only has k in it.

1 = k/6.

Solve that for k.

Now you can write your equation

y = k/x using the number you found for k. The number k is probably what is being called the "variation constant" and the expression y = k/x is the equation of inverse variation.

It's funny that something can be called a "variation constant" because those two words seem to mean opposites!

Answer 2

find the variation constant and an equation of variation where y varies directly as x and y= 24 when x=6