Find the Exponential Function That Models the Data in the Table

question 244

Multiple Choice

Find the exponential function that models the data in the table below. $\begin{array}{l|r}\mathrm{x} & \mathrm{f}(\mathrm{x}) \\\hline-2 & 22 \\-1 & 15.4 \\0 & 10.78 \\1 & 7.546 \\2 & 5.2822\end{array}$

• A) \(f ( x ) = 10.78 \cdot 1.3 ^ { x }\)
• B) \(f ( x ) = 22 \cdot 0.7 ^ { x }\)
• C) \(f ( x ) = 15.4 \cdot 1.7 ^ { x }\)
• D) \(f ( x ) = 10.78 \cdot 0.7 ^ { x }\)

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Definitions:

Scheduled Payments

Predetermined amounts of money paid at regular intervals, often part of a repayment plan for loans or mortgages.

Compounded Semi-annually

Interest on an investment is calculated twice a year and added to the principal, allowing the investment to grow faster than if it were compounded annually.

Proposed Payments

Suggested or planned amounts to be paid as part of a financial agreement or loan repayment schedule.

Scheduled Payments

Predetermined payments made over a specified period of time as part of the terms of a loan or mortgage.