Find the Exponential Function F That Models This Data $\begin{array}{r|rrrr}x & 3 & 6 & 9 & 12 \\\hline y & 12.2 & 36.2 & 73.5 & 151\end{array}$

question 5

Multiple Choice

Find the exponential function f that models this data. Round the coefficients to the nearest hundredth. $\begin{array}{r|rrrr}x & 3 & 6 & 9 & 12 \\\hline y & 12.2 & 36.2 & 73.5 & 151\end{array}$

• A) \(\mathrm { f } ( \mathrm { x } ) = ( 1.63 ) ( 1.78 ) ^ { \mathrm { x } }\)
• B) \(f ( x ) = ( 1.32 ) ( 5.97 ) ^ { x }\)
• C) \(\mathrm { f } ( \mathrm { x } ) = ( 5.97 ) ( 1.32 ) ^ { \mathrm { x } }\)
• D) \(f ( x ) = ( 1.78 ) ( 1.63 ) ^ { x }\)

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Definitions:

Firm-Commitment Basis

An underwriting process where the underwriter buys the entire issue of securities from the issuer and sells them to investors, assuming full financial risk.

Underwriter

A person or entity that assesses and accepts the risk of insurance or issue of securities, setting terms for coverage or offering prices for shares.

IPO

An Initial Public Offering is the process by which a private company becomes publicly traded on a stock exchange by offering its stock for the first time to the general public.

Green Shoe Provision

An option in an IPO that allows underwriters to buy up to an additional 15% of company shares at the offering price to manage demand and stabilize the stock price after the IPO.