Will M. answered 05/28/15
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A variable is simply the term used to describe an unknown quantity. For example, if a farmer has a certain number of acres of land, but you don't know how many acres he has, you could say he has "x" acres. If you know some more information, you may be able to solve for this value. You can name it whatever you want ("x" or otherwise), but keep in mind there are two main types of variables:
Independent variable: This is what you usually see as "x". The independent variable means just what it sounds like: It's independent. It doesn't depend on any other value. It can be anything you define it to be, based on what type of value you're trying to solve for that is "unknown".
Dependent variable: This is what you usually see as "y". The dependent variable also means just what it sounds like: It depends on some other variable. The independent variable ("x") is usually what determines what the "y" value is.
For example:
y = 3x + 4
x is independent, because we can make x whatever number we want, without it being restricted by some other value.
y is dependent, because whatever we made x will determine what value y will then be.
Hope this helps!
David W.
There are other "variables" that are constant for this particular formula. Will mentioned y = 3X + 4. That is a specific line with slope 3 and y-intercept 4. It is in the form y = Mx + B (here, M and B are variables that have the values 3 and 4 for this line, but would have other values for other lines in the x=y plane).
One great convention: choose mnemonic variable names (they remind you of what they mean). On this forum, you will see W for width, L for length, A for Area, P for perimeter, D for distance, T for time, R for rate, etc., etc. And, like the two-letter postal abbreviations for state names, you need a rule for duplicates so you won't confuse yourself (the problem does that pretty well already).
05/28/15