Find a Power Function That Models the Data in the Table

Multiple Choice

Find a power function that models the data in the table. Round to three decimal places if necessary.
- $\begin{array}{c|ccccccccc}\mathrm{x} & 1 & 2 & 3 & 4 & 5 & 6 & 7 & 8 & 9 \\\hline \mathrm{y} & 1.2 & 26.6 & 172.0 & 645.2 & 1801.9 & 4165.5 & 8291.1 & 15,600.0 & 28,953.4\end{array}$

A) $y = 1.147 x 4.580$
B) $y = 3038.125 x - 8562.081$
C) $y = 2.442 x ^ { 3.164 }$
D) $\mathrm { y } = 4.580 \mathrm { x } 1.147$