Find the Exponential Function F That Models This Data $\begin{array}{r|rrrr}\mathrm{x} & 2 & 27 & 58 & 82 \\\hline \mathrm{y} & 13.2 & 40.5 & 82.7 & 172\end{array}$

question 72

Multiple Choice

Find the exponential function f that models this data. Round the coefficients to the nearest hundredth. $\begin{array}{r|rrrr}\mathrm{x} & 2 & 27 & 58 & 82 \\\hline \mathrm{y} & 13.2 & 40.5 & 82.7 & 172\end{array}$

• A) \(f ( x ) = ( 14.21 ) ( 1.03 ) ^ { x }\)
• 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:

Conditioned Stimulus

A previously neutral stimulus that, after being paired with an unconditioned stimulus, comes to trigger a conditioned response.

Unconditioned Stimulus

A stimulus that naturally and automatically triggers a response without prior conditioning.

Backward Conditioning

A less common form of classical conditioning where the unconditioned stimulus is presented before the conditioned stimulus.

Learned Response

A behavior that has been acquired or modified as a result of experience or conditioning.