Find the Exponential Function F That Models This Data $\begin{array}{r|rrrr}\mathrm{x} & 1 & 3 & 5 & 7 \\\hline \mathrm{y} & 1.23 & 2.51 & 4.05 & 6.92\end{array}$

question 133

Multiple Choice

Find the exponential function f that models this data. Round the coefficients to the nearest hundredth. $\begin{array}{r|rrrr}\mathrm{x} & 1 & 3 & 5 & 7 \\\hline \mathrm{y} & 1.23 & 2.51 & 4.05 & 6.92\end{array}$

• A) \(f ( x ) = ( 0.85 ) ( 1.14 ) ^ { x }\)
• B) \(f ( x ) = ( 1.14 ) ( 0.85 ) ^ { x }\)
• C) \(f ( x ) = ( 1.3
• 3 ) ( 0.98 ) ^ { x }\)
• D) \(f ( x ) = ( 0.98 ) ( 1.33 ) ^ { x }\)

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Definitions:

Concentration Gradient

The gradual difference in the concentration of solutes in a solution between two regions, often leading to the movement of molecules along the gradient during diffusion.

Molecules

The smallest unit of a chemical compound that can exist while retaining the properties of that compound.

Osmosis

The movement of water molecules through a semi-permeable membrane from a region of lower solute concentration to one of higher concentration, aiming to equalize concentrations.

Selectively Permeable Membrane

A type of biological or synthetic membrane that aids in the selective transfer of substances in and out of cells.