Choose the Function That Might Be Used as a Model $f ( x ) = a + b \ln x$

question 35

Multiple Choice

Choose the function that might be used as a model for the data in the scatter plot.
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• A) Logarithmic, \(f ( x ) = a + b \ln x\)
• B) Polynomial, not quadratic
• C) Exponential, \(\mathrm { f } ( \mathrm { x } ) = \mathrm { ab } { } ^ { - \mathrm { x } }\) or \(\mathrm { f } ( \mathrm { x } ) = \mathrm { P } _ { 0 } \mathrm { e } ^ { - \mathrm { kx } } , \mathrm { k } > 0\)
• D) Exponential, \(\mathrm { f } ( \mathrm { x } ) = \mathrm { ab } ^ { \mathrm { x } }\) or \(\mathrm { f } ( \mathrm { x } ) = \mathrm { P } _ { 0 } \mathrm { e } ^ { \mathrm { kx } } , \mathrm { k } > 0\)

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Definitions:

Stock Prices

Stock prices represent the current market value of a company's shares, reflecting investor perceptions of its future financial prospects.

Net Wealth

The total assets owned by individuals, businesses, or nations, minus any liabilities owed.

Consumption

The total amount of goods and services consumed by households and individuals in an economy.

Consumption Function

An economic formula that depicts the relationship between total consumption and gross national income, indicating how income affects spending.