How do you find the constant of variation K for the inverse variation and write the inverse variation equation given x=7 y=5?

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Answer 1 · 2016-07-14T14:14:58

Constant: #k = 35#

Variation: #y=35/x#

Inverse Variation: #y = k/x#

We are given #x# and #y#. We can plug these values into the equation above and solve for #k#, the constant in the variation.

#5 = k/7#

#35 = k#

We determined that #k# is the constant. But we are not done yet. We must form a new inverse variation with #k#.

#y=k/x#

#y=35/x#

And that's our newly-written inverse variation.