Find a Power Function That Models the Data in the Table

question 229

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) \(\mathrm { y } = 4.580 \mathrm { x } 1.147\)

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Definitions:

Triplet

A term in quantum physics describing a system or state with three closely related energy levels or particles.

Quartet

In NMR spectroscopy, a signal pattern of four peaks indicating the splitting of a signal due to coupling with three equivalent protons.

Doublet

In spectroscopy, a pair of closely spaced energy levels or lines, often observed in the spectra of atoms and molecules.

Doublet

A pair of closely spaced lines or peaks observed in spectroscopy or other forms of analysis, indicating two related quantum states.