Find a Power Function That Models the Data in the Table

question 14

Multiple Choice

Find a power function that models the data in the table. Round to three decimal places if necessary.
-The following points form a quadratic relationship: (1, 5.0) , (2, 4.4) , (3, 4.3) , (4, 4.2) , (5, 4.6) , (6, 4.8) , (7, 5.4) , (8, 6.2) . The x-coordinates are the years a particular company has been in operation and the y-coordinates are the
Profit, in millions, for that year. Find the quadratic function that models the profit in millions as a function of x,
The number of years of operation. Round to three decimal places.

• A) \(y = 0.099 x ^ { 2 } + 1.254 x - 3.512\)
• B) \(y = 0.101 x ^ { 2 } - 0.723 x + 5.552\)
• C) \(y = 0.203 x ^ { 2 } - 0.945 x + 7.098\)
• D) \(y = - 0.003 x ^ { 2 } + 0.145 x - 0.892\)

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Definitions:

Capital Allocation Line

A graphical representation used in the investment management and financial strategy to show the risk-reward trade-off of various portfolios.

Indifference Curve

A graph showing different bundles of goods between which a consumer is indifferent, meaning that the consumer has no preference for one bundle over another.

Opportunity Set

A collection of all possible investment options available to an investor, given their resources and risk appetite.

Reward to Variability Ratio

A financial metric used to assess the return of an investment relative to its risk.