Chapter 3 - 3.5 - Mathematical Modeling and Variation - 3.5 Exercises - Page 295: 26

$x~~~~~~~~~~~~~~~~~~y=x^2$ $2~~~~~~~~~~~~~~~~~~~~~~8$ $4~~~~~~~~~~~~~~~~~~~~~32$ $6~~~~~~~~~~~~~~~~~~~~~72$ $8~~~~~~~~~~~~~~~~~~~~128$ $10~~~~~~~~~~~~~~~~~~200$

$y=kx^n$ $k=2$ and $n=2$ $y=2x^2$ $x=2$: $y=2·2^2=8$ $x=4$: $y=2·4^2=32$ $x=6$: $y=2·6^2=72$ $x=8$: $y=2·8^2=128$ $x=10$: $y=2·10^2=200$