Which of the following exponential regression equations best fits the datashown below?

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