Solve the Problem $f ( x ) = b a ^ { x }$

question 122

Multiple Choice

Solve the problem.
-The table shows the population of a certain city in various years. The data can be modeled by an exponential function of the form $f ( x ) = b a ^ { x }$ . Use regression to determine an exponential function $f$ that models this data. Round the coefficients to the nearest hundredth.

• A) \(\mathrm { f } ( \mathrm { x } ) = ( 14.21 ) ( 1.03 ) ^ { \mathrm { x } }\)
• B) \(f ( x ) = ( 0.62 ) ( 7.58 ) ^ { x }\)
• C) \(f ( x ) = ( 13.21 ) ( 1.03 ) ^ { x }\)
• D) \(f ( x ) = ( 7.58 ) ( 0.62 ) ^ { x }\)

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Definitions:

Voluntary Pregnancy

A pregnancy that occurs as a result of individuals choosing to conceive and carry a baby to term without external coercion.

Nontherapeutic Abortions

Abortions performed for reasons other than to preserve the health or life of the mother.

Therapeutic Abortions

Abortions performed for the purpose of preserving the health or life of the mother, often considered in the context of medical ethics and women's rights.

Decriminalizing Abortion

The process of removing criminal sanctions against abortion, allowing it to be performed by qualified healthcare providers without penal consequences.