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:

Restrictive Covenant

A clause in a contract that limits certain actions of the parties involved, often to protect business interests.

Invalid

Describes an action, document, or agreement that lacks legal force or effect, rendering it void or not legally binding.

Right of Redemption

The legal right that allows a debtor to reclaim property or goods that were previously sold or foreclosed upon, typically by paying off a debt within a specific time frame.

Mortgage Lien

A legal claim or right a lender has on a property as collateral for a debt owed by the property owner, which allows the lender to foreclose if the loan is not repaid.