SOLUTION: Can you help me write an equation for the power function, and state its power and constant of variation? X- 1 8 27 64 125 216 Y- 2 4 6 8 10 12

Algebra ->  Exponential-and-logarithmic-functions -> SOLUTION: Can you help me write an equation for the power function, and state its power and constant of variation? X- 1 8 27 64 125 216 Y- 2 4 6 8 10 12      Log On


   

Question 233656: Can you help me write an equation for the power function, and state its power and constant of variation?
X- 1 8 27 64 125 216
Y- 2 4 6 8 10 12
Answer by scott8148(6628) About Me  (Show Source):
You can put this solution on YOUR website!
the x values are the cubes of the first six numbers

the y values are the first six numbers doubled

so x = (y/2)^3

or, y = 2 [x^(1/3)] ___ this could also be two times the cuberoot of x

so the power is 1/3 and the constant of variation is 2