1. Limited time only! Sign up for a free 30min personal tutor trial with Chegg Tutors
    Dismiss Notice
Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

What does the equation xy=k represent?

  1. Jul 3, 2008 #1
    What does the eqn xy=k represent?
     
  2. jcsd
  3. Jul 3, 2008 #2

    arildno

    User Avatar
    Science Advisor
    Homework Helper
    Gold Member
    Dearly Missed

    Re: xy=k

    It depends upon the interpretation of your symbols x,y and k.
     
  4. Jul 3, 2008 #3
    Re: xy=k

    In many cases, that will represent a function (though I'm used to seeing z insteak of k.)
    f(x, y) = k. In your case, f(x, y) takes the two inputs (x and y, obviously) and multiplies them together. k is called the output, x and y are inputs. Most people will remember seeing f(x) = y in highschool, in this case f() has two variables intead of one. As Arlidno mentions, the interpretation will vary. x may represent height and y may represent width, hence k would represent the area of a square-ish object.
     
  5. Jul 3, 2008 #4
    Re: xy=k

    Well, if you solve it for y, then you get: y = k/x. This is an inverse variation.

    It could be as simple as that.
     
  6. Jul 3, 2008 #5

    mathman

    User Avatar
    Science Advisor
    Gold Member

    Re: xy=k

    Assuming x and y are variables and k is a constant, the graph will be a hyperbola.
     
  7. Jul 3, 2008 #6

    arildno

    User Avatar
    Science Advisor
    Homework Helper
    Gold Member
    Dearly Missed

    Re: xy=k

    Assuming "xy" is a constant, the k-graph is either a straight line, assuming a (k,l)-coordinate system to speak out from.
     
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook




Similar Discussions: What does the equation xy=k represent?
Loading...