SOLUTION: You can find the area of a square using the equation s to the second power equals a, where s equals the side length and a the area. Is this a linear relationship? How do you know?

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: You can find the area of a square using the equation s to the second power equals a, where s equals the side length and a the area. Is this a linear relationship? How do you know?      Log On


   



Question 990578: You can find the area of a square using the equation s to the second power equals a, where s equals the side length and a the area. Is this a linear relationship? How do you know?

Found 2 solutions by stanbon, Timnewman:
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
You can find the area of a square using the equation s to the second power equals a, where s equals the side length and a the area. Is this a linear relationship? How do you know?
------------
A = s^2
-----
Not linear
Why?:: variable "s" is raised to the 2nd power.
-------------
Cheers,
Stan H.
---------------

Answer by Timnewman(323) About Me  (Show Source):
You can put this solution on YOUR website!
If s=a%5E2,
Then,The above equation is aquadratic equation not linear equation.The reason is that quadratic equation is a degree two equation(i,e,the variable is in the power of two) but linear equation is always a degree one equation.(i.e,the variable(s) is in the power of one.
If it is in degree three,it is called cubic equation.
Note that all these belong to a class called polynomial.
HOPE THIS HELPS?