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:

Glucagon Release

The process in which glucagon, a hormone that raises blood glucose levels, is secreted by the alpha cells of the pancreas in response to low blood sugar.

Pancreas

An organ in the digestive system and endocrine system, responsible for secreting digestive enzymes and insulin.

Acinar Cells

Cells in the pancreas that produce digestive enzymes, which are secreted into the small intestine to aid in the digestion of food.

Gamma Cells

Gamma cells, often referred to in the context of the pancreas as pancreatic gamma cells, are a type of cell responsible for the regulation of certain hormones, although less commonly discussed compared to alpha and beta cells.