Suppose that a y varies inversely with x, and y=0.2 when x=2. What is an equation for the inverse variation?

1 Answer
Jul 1, 2016

Answer:

#y = 0.4/x#

Explanation:

Standard Form of an Inverse Variation: #y = k/x#

These are the values that are given to us, #y = 0.2#, #x= 2#,
and we know that it is an inverse variation. We can plug in these numbers into the standard formula of an inverse variation.

#y = k/x#

#0.2 = k/2#

#0.4 = k#

Now that we've used out values to find #k#, we can make an inverse variation.

#y = 0.4/x#

Just remember:

Plug in your values into the variation, solve for k, make a new variation but plug in the value for k.