Several scientists want to take fire balloon and decide to track the height of the fire balloon as time goes on. The make a table of values with one variable being time in minutes and the other variable being the height of the fire balloon in meters. Find a polynomial function that models the trajectory of the fire balloon.

Time (x) |
1 |
2 |
3 |
4 |
5 |
6 |
7 |

Height(y) |
1 |
3.5 |
8.25 |
16 |
27.5 |
43.5 |
64.75 |

^{3}+3/8
x^{2}+1/2 x-8

^{3}+5x^{2}+1/8
x+3

^{3}-3/8
x^{2}+2x-6

^{3}+3/8
x^{2}+1/2 x