Respuesta :

Solution:

Given a table of values representing exponential regression equation.

The general form of an exponential regression equation is

[tex]y=ab^x[/tex]

The graph of the table of values is shown below

Where

[tex]\begin{gathered} a=8.46\text{ \lparen two decimal places\rparen} \\ b=3.51 \end{gathered}[/tex]

Substituting for a and b into the general form of an exponential regression equation

[tex]\begin{gathered} y=ab^x \\ y=8.46\cdot3.51^x \end{gathered}[/tex]

Hence, the exponential regression equation that best fits the data is

[tex]y=8.46\cdot3.51^x[/tex]

Thus, answer is option A

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