Find the Exponential Function That Models the Data in the Table

question 118

Multiple Choice

Find the exponential function that models the data in the table below. Round the coefficients to the nearest hundredth. $\begin{array}{c|c|c|c|c|c}\mathrm{x} & 1 & 2 & 3 & 4 & 5 \\\hline \mathrm{y} & 4.0 & 4.8 & 6.2 & 7.8 & 9.9\end{array}$

• A) \(f ( x ) = \frac { 3.95 } { 1 + 510.08 e ^ { - 2 x } }\)
• B) \(f ( x ) = 3.11 ( 1.26 ) ^ { x }\)
• C) \(f ( x ) = \frac { 3.95 } { 1 + 511.07 e ^ { - 2 x } } + 4.45\)
• D) \(f ( x ) = 3.33 ( 1.20 ) ^ { x }\)

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Definitions:

Adjusting Entry

A journal entry made at the end of an accounting period to allocate revenue and expenses to the appropriate period, ensuring accurate financial reporting.

Long-Term Investment

Investments held for an extended period, typically exceeding one year, such as stocks, bonds, or real estate, aiming for prolonged growth.

Fair Value

A valuation of an asset or liability determined by the price it would fetch if sold, or the cost to transfer it, in a smooth transaction among participants in the market.

Adjusting Entry

A journal entry made at the end of an accounting period to allocate income and expenditures to the appropriate periods.