Chapter 3 - 3.5 - Mathematical Modeling and Variation - 3.5 Exercises - Page 295: 25

$x~~~~~~~~~~~~~~~~~~y=x^2$ $2~~~~~~~~~~~~~~~~~~~~~~4$ $4~~~~~~~~~~~~~~~~~~~~~16$ $6~~~~~~~~~~~~~~~~~~~~~36$ $8~~~~~~~~~~~~~~~~~~~~~64$ $10~~~~~~~~~~~~~~~~~~100$

$y=kx^n$ $k=1$ and $n=2$ $y=x^2$ $x=2$: $y=2^2=4$ $x=4$: $y=4^2=16$ $x=6$: $y=6^2=36$ $x=8$: $y=8^2=64$ $x=10$: $y=10^2=100$